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3. ThinkQuest Library Of Entries Math for Morons Like Us algebra II quadratic equations/20991/alg2/quad.html © 1998 ThinkQuest Team 20991. http://library.thinkquest.org/20991/alg2/quad.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Math for Morons like Us , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Math for Morons like Us click here Back to the Previous Page The Site you have Requested ... Math for Morons like Us click here to view this site A ThinkQuest Internet Challenge 1998 Entry Click image for the Site Languages : Site Desciption Have you ever been stuck on math? If it was a question on algebra, geometry, or calculus, you might want to check out this site. It's all here from pre-algebra to calculus. You'll find tutorials, sample problems, and quizzes. There's even a question submittal section, if you're still stuck. A formula database gives quick access and explanations to all those tricky formulas. Languages: English. Students J. Robert Davis High School Library UT, United States

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Practical Algebra Lessons Home The following lessons give practical tips, hints, and examples, and point out common mistakes. They are cross-referenced to each other, to help you find related material. Search this site for: powered by FreeFind Preliminary Topics Absolute Value Factoring Numbers Fractions Geometric Formulas ... Number Bases (binary, hexidecimal, etc.) Number Properties (Distributive, etc.) Number Types (natural, integer, real, etc.) Percents/Decimals/Fractions (converting) Rounding (and significant digits Beginning Algebra Topics Canceling Units Distance Formula Engineering Notation Evaluation ... Exponents (basic, negative, fractional) Graphing Overview Graphing: Absolute Value Graphing: Linear Equations Graphing: Radical Equations ... Inequalities Overview (three methods) Inequalities: Linear NEW Intercepts Midpoint Formula Order of Operations Polynomials (definitions & "like terms") Polynomials: Multiplying Polynomials: Dividing Radicals (square roots, cube roots, etc.) Scientific Notation Simple Factoring such as 2x + 6 = 2(x + 3) NEW Simplifying with Parentheses NEW Slope of a straight line Slope and Graphing Slope and y-intercept (their meaning in word problems) Solving: Absolute Value Equations Solving: Linear Equations Solving: Literal Equations Solving: Radical Equations ... Straight-line equations (y = mx + b) Variables x,y-Plane

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10. Quadratic Equations: Quadratic Formula quadratic equations quadratic Formula. The quadratic Formula. The quadraticequation has the solutions. Consider the general quadratic equation. with . http://www.sosmath.com/algebra/quadraticeq/quadraformula/quadraformula.html

Quadratic Equations: Quadratic Formula The Quadratic Formula. The quadratic equation has the solutions Consider the general quadratic equation with . First divide both sides of the equation by a to get which leads to Next complete the square by adding to both sides Finally we take the square root of both sides: or We call this result the Quadratic Formula and normally write it Remark. The plus-minus sign states that you have two numbers and Example: Use the Quadratic Formula to solve Solution. We have a b = -3, and . By the quadratic formula, the solutions are Please go to General Conclusion to find a summary of all the cases regarding the roots of a quadratic equation. [Algebra] [Complex Variables] [Geometry] [Trigonometry ] ... S.O.S MATHematics home page Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard Author: Mohamed Amine Khamsi Contact us Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA users online during the last hour

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12. Abu Ja'far Al-Khwarizmi Arab mathematician, lived when spread of ideas was very slow, wrote Hisab aljabr wal-muqabala, concepts of the Middle East. The al-jabr gave us the word algebra. introduced the decimal system, rules for solving linear and quadratic equations, the word algorithm comes from his name. http://www.windows.ucar.edu/people/middle_ages/al-khwarizmi.html

Abu Ja'far al-Khwarizmi Abu Ja'far al-Khwarizmi was an Arab mathematician who lived between AD 780 and 850. At a time when the spread of ideas was difficult, al-Khwarizmi wrote a book which contained many important mathematical concepts of the Middle East. This book changed all of European mathematics, introducing the decimal system and rules for doing algebra. Abu Ja'far al-Khwarizmi Abu Ja'far al-Khwarizmi was an Arab mathematician who lived between 780-850. At a time when the diffusion of ideas was very slow due to the lack of cross-cultural communication, al-Khwarizmi wrote a book which contained many important mathematical concepts of the Middle East. This book revolutionized western (European) mathematics: It introduced the decimal system, as well as rules for solving equations and doing geometry. Abu Ja'far al-Khwarizmi Abu Ja'far al-Khwarizmi was an Arab mathematician who lived between 780-850. At a time when the diffusion of ideas was very slow due to the lack of cross-cultural communication, al-Khwarizmi wrote a book, Hisab al-jabr wal-muqabala, which contained many important mathematical concepts and formulae of the Middle East. One of these concepts was completing the square. The "al-jabr" in the title gave us the word "algebra." This book revolutionized western (European) mathematics: It introduced the decimal system, rules for solving linear and quadratic equations, and doing geometry.

13. ThinkQuest Library Of Entries algebra II quadratic equations. Math for Morons Like Us algebra II quadraticequations /20991/textonly/alg2/quad.html © 1998 ThinkQuest Team 20991. http://library.thinkquest.org/20991/textonly/alg2/quad.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Math for Morons like Us , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Math for Morons like Us click here Back to the Previous Page The Site you have Requested ... Math for Morons like Us click here to view this site A ThinkQuest Internet Challenge 1998 Entry Click image for the Site Languages : Site Desciption Have you ever been stuck on math? If it was a question on algebra, geometry, or calculus, you might want to check out this site. It's all here from pre-algebra to calculus. You'll find tutorials, sample problems, and quizzes. There's even a question submittal section, if you're still stuck. A formula database gives quick access and explanations to all those tricky formulas. Languages: English. Students J. Robert Davis High School Library UT, United States

14. Quadratic Etc Equations Why pay retail when you can save at Half? Always find low prices on books by Harold Taylor and a great selection of new used books. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Quadratic_etc_equations.h

Quadratic, cubic and quartic equations Algebra index History Topics Index It is often claimed that the Babylonians (about 400 BC) were the first to solve quadratic equations. This is an over simplification, for the Babylonians had no notion of 'equation'. What they did develop was an algorithmic approach to solving problems which, in our terminology, would give rise to a quadratic equation. The method is essentially one of completing the square. However all Babylonian problems had answers which were positive (more accurately unsigned) quantities since the usual answer was a length. In about 300 BC Euclid developed a geometrical approach which, although later mathematicians used it to solve quadratic equations, amounted to finding a length which in our notation was the root of a quadratic equation. Euclid had no notion of equation, coefficients etc. but worked with purely geometrical quantities. Hindu mathematicians took the Babylonian methods further so that Brahmagupta (598-665 AD) gives an, almost modern, method which admits negative quantities. He also used abbreviations for the unknown, usually the initial letter of a colour was used, and sometimes several different unknowns occur in a single problem. The Arabs did not know about the advances of the Hindus so they had neither negative quantities nor abbreviations for their unknowns. However

15. Introductory Algebra - Chapter 9: Quadratic Equations 9.1 Solving quadratic equations by the Square Root Property 9.2 Solving quadraticequations by Completing the Square 9.3 Solving quadratic equations by the http://www.mathnotes.com/Intro/aw_introchap9.html

Chapter 9: Quadratic Equations Students and Teachers! Would you like to be able to use InterAct over the Web? or try Real World problems that link you to other Web sites for more data and information? See below! InterAct Tutorials To access the InterAct tutorials over the Web, you will need to download the InterAct plug-inbut you will only need to do this once. To download the InterAct Math Plugin, follow these directions: If your computer is running the Windows 95 or later operating system, click on the button titled "Download InterAct Math" to go to the InterAct Math Plugin Download Web site. A new browser window will open to the InterAct Math Download Web page. Select "Installation Instructions". Follow the downloading instructions. Then return to this site to select the InterAct Math problem you would like to practice. Interact Tutorials Please Note: This plug-in will work for Windows users only. Solving Quadratic Equations by the Square Root Property Solving Quadratic Equations by Completing the Square Solving Quadratic Equations by the Quadratic Formula Summary Exercises on Quadratic Equations ... Graphing Quadratic Equations in Two Variables Numbers in the Real World To access the Numbers in the Real World applications, simply click on the hyperlinked application name below.

16. Webquest - Quadratic Functions a WebQuest for grades 912 algebra a design method that completes the job quickly and efficiently. quadratic equations can be solved using several methods. http://www.scs.k12.tn.us/STT99_WQ/STT99/Collierville_HS/brashers/Webquest-Quadra

Goodness Gracious, Quadratic Functions! Click the title for a musical rendition to "Great Balls of Fire." a WebQuest for grades 9-12 Algebra by Shelli Brasher Introduction Task Resources ... Conclusion Introduction Why study quadratics? There are many ways to solve a problem. Some are more efficient than others. To design a supersonic aircraft, an engineer must select a design method that completes the job quickly and efficiently. Quadratic equations can be solved using several methods. The idea is to master these methods and learn to select the one that most efficiently solves the problem at hand. Also, the parabola, the graph of a quadratic, has numerous applications in the modern world of technology. Supersonic planes are parabolic in shape to reduce air resistance. Flashlights and satellite dish antennas have reflectors shaped like a parabola. Even the graph showing how a golf ball rises until it reaches its maximum height, then falls back to earth is shown by a parabola. The Task In this WebQuest, you will use a variety of resources to

17. Prealgebra And Introductory Algebra - Chapter 17: Quadratic Equations 17.1 Solving quadratic equations by the Square Root Property 17.2 Solving quadraticequations by Completing the Square 17.3 Solving quadratic equations by the http://www.mathnotes.com/book6/book6_17.html

Chapter 17: Quadratic Equations Practice with our InterAct Math tutorial exercises on the Web! To use the InterAct Math tutorials over the Web, you will need to download and install the InterAct Math Plug-in for Windows. Click the Download InterAct Math button for complete instructions. You will only need to install the plug-in once. InterAct Math Tutorials Solving Quadratic Equations by the Square Root Property Solving Quadratic Equations by Completing the Square Solving Quadratic Equations by the Quadratic Formula Using Function Notation for Quadratic Equations ... Graphic Quadratic Equations and Inequalities Numbers in the Real World To access the Numbers in the Real World applications, simply click on the hyperlinked application name below. Section 17.1 In your book, you'll find a Real World exercise about the spread of AIDS. For more practice with similar Real World investigations, try the problem below: Trade Ya Study Tips To access the Study Tips , simply click on the hyperlinked application name below. Study Tips: Using Your Textbook Study Tips: Keys to Remembering What You Study

18. Quadratic Equations quadratic equations. Navigation algebra.Com Home / algebra / algebraLessons / quadratic equations Click Here My Homework! See the http://www.algebra.com/algebra/lessons/quadform/

Quadratic Equations Navigation Algebra.Com Home Algebra Algebra Lessons Quadratic Equations ... My Homework! See the latest 20 problems that you have done. Random SAT word: embody Know what it means? Vocabulary Game Word Problems Solve and practice cracking word problems. See Also: Graphing Quadratic Calculator See Also: Related Word Problems See Also: Practice solving quadratics Contents Definitions Standard Form Quadratic Formula Discussing Discriminant ... Summary: Steps to solve quadratics The quadratic Equation ax +bx+c=0 has solutions: Typical plot of a quadratic See a lesson on Graphing Definitions An exercise where you are asked to solve a quadratic equation is mostly a test of your attention span . If you can keep yourself focused for 5 minutes and perform all the steps that are clearly given to you, you win. You don't have to be smart or creative. A quadratic equation is an equation like ax + bx + c = , where a, b, and c are some numbers. These numbers are called coefficients . What you are typically required to do is find the values of x at which the left side of the equation (expression ax + bx + c) is equal to zero.

19. Math Help - Algebra - Quadratic Equations - Complete The Square - Technical Tuto One way to deal with quadratic equations is completing the square, where Since aquadratic is also known as a seconddegree polynomial A little algebra yields. http://www.hyper-ad.com/tutoring/math/algebra/Complete_square.html

Technical Tutoring Home Site Index Advanced Books Speed Arithmetic ... Gift Shop Quadratic Equations - Complete the Square Introduction by Example General Complete the Squares Method Examples Algebra Index ... Recommended Books Introduction by Example One way to deal with quadratic equations is completing the square, where one takes an equation that does not quite resolve into a nice squared linear factor, such as The method simply states that one makes it look like a perfect square on one side by adding an appropriate constant to both sides (in this case add 1 to both sides) This equation is then factored in a straightforward way, and the solutions are found by simply taking the square root of both sides: second-degree polynomial , it can have at most two distinct roots (which do not have to be real numbers, more on this later). back to top General Complete the Squares Method To find the general method of completing the square, note that we can always start with an equation like Since we should examine the square term Subtracting yields a difference of Therefore, adding this term to both sides of our beginning equation above yields

20. Math Help - Algebra - Quadratics - Theory - Graphs with the standard graphing form, we can manipulate the algebra. form of the equationto the quadratic form. To go the other way, we invert the equations to get. http://www.hyper-ad.com/tutoring/math/algebra/Quadratic_theory.html

Technical Tutoring Home Site Index Advanced Books Speed Arithmetic ... Gift Shop Quadratics and the Quadratic Formula: Theory and Graphing Three types of quadratic equations Solving the equation Graphing the equation Changing the value of ... Recommended Books The three types of quadratic equations Every quadratic equation describes a parabola, which looks like this graph. The graph looks a little like a cup, and the bottom of the cup is called the vertex . The mouth of the cup keeps getting larger to infinity. For the most part, we will be interested in the region around the vertex. There are three important cases of quadratics depending on where the graph crosses the x-axis (these points are called roots or zeros of the equation). In case I, two distinct, real roots, the vertex lies on the opposite side of the x-axis from the rest of the graph and so the curve must cross the x-axis exactly twice. One can see exactly where the roots are from the graph, and they are clearly real numbers. Analytically, this case corresponds to the portion of the quadratic formula under the radical (the discriminant ) being strictly positive: Case I, two real, distinct roots

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