quadratic equation


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"Quadratic equation" Introduction


From   Wikipedia , TutorVista
Wikipedia
quadratic equation : In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is where a ≠ 0. Students and teachers all over the world are familiar with the quadratic formula that can be derived by completing the square. That formula always gives the roots of the..   More from Wikipedia

quadratic equation : Quadratics is a six-part Canadian instructional television series produced by TVOntario in 1993. The miniseries is part of the Concepts in Mathematics series. The program uses computer animation to demonstrate quadratic equations and their corresponding functions in the Cartesian coordinate..   More from Wikipedia

Quadratic Equations
An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0). The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divided by the leading coefficient. The pro..
Quadratic Equations
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..

"Quadratic equation" Videos


From   Youtube
  Introduction to using the quadratic equation to solve 2nd degree polynomials
  How to solve a simple Quadratic Equation without a linear term. This is video 29 of 51 in the solving equation series. The next three series are "Word Problems", "Factoring" and "Graphing".

"Quadratic equation" Questions & Answers


From   Yahoo Answers
Question : I need step by step instructions on how to solve this quadratic equation. Please use the quadratic formula and do not just factor. Thanks! x^2 - 2x - 2 = 0 (The reason I am asking this question again is because no one has given me step by step instructions on how to solve the equation. Please do not just break the problem down or just factor.The problem needs to be solved using the quadratic method. Each step you make I need you to explain the step to me. Thank you!)

Answer : The standard form of a quadratic equation is ax^+bx+c,where a is the coefficient of x^2 b is the coefficient of x,and c is the constant We have to solve the equation x^2-2x-2=0 Here a=1 b= -2 and c= -2 The solution of a standard quadratic equation is given by x={-b+- sqrt(b^2-4ac)}/2a let us now put the values in this formula x={-(-2)+-sqrt(-2)^2-4*1*(-2)}/2*1 ={2+-sqrt(4+8)}/2 =(2+-sqrt12)/2 =(2+-sqrt[4*3])/2 =(2+-2sqrt3)/2 = 1+-sqrt3 [dividing each term of the numerator by 2] Therefore, x=1+sqrt3 or 1-sqrt3..   More from Yahoo Answers

Question : How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate s with one or two solutions with which they must create a quadratic equation.

Answer : Any quadratic equation would have definitely solutions. Let the general form be ax^2 + bx + c = 0 Then there comes one concept known as discriminant That discriminant will be sqrt of b^2 - 4ac. 1) One solution means both the solutions are of same value Here the discriminant = 0 2) two distinct Here the discriminant will be greater than zero 3) You say no solution. This means no real solutions. But the solutions would be complex. Here the discriminant will be less than 0. 4) If the solutions are m and n then the quadratic equation will be of the form x^2 - (m+n)x + mn = 0 That is x^2 -- (sum of the roots) x + (product of the roots) = 0 5) Therefore it is not possible to have two different quadratic equations having same solutions...   More from Yahoo Answers

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