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how to make a quadratic equation given the roots. Conversely if you have the roots x 1 and x -3 you can recover the quadratic equation by forming x - 1 x 3 0. When two roots of a quadratic equation are given the formula to form the quadratic equation is given by.
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The mathematical representation of a Quadratic Equation is ax²bxc 0. The discriminant tells the nature of the roots. X² - a v x av 0.
These roots are given by x frac-b pm sqrtb2 - 4ac2a This is also known as the Quadratic Formula.
One common root if b1c2 b2c1c1a2 c2a1 c1a2 c2a1a1b2 a2b1 Both roots common if a1a2 b1b2 c1c2. How to write down a quadratic equation using its given solutions. One common root if b1c2 b2c1c1a2 c2a1 c1a2 c2a1a1b2 a2b1 Both roots common if a1a2 b1b2 c1c2. The sum and product of the roots can be rewritten using the two formulas above.
