Question 836061: A quadratic equation, in general form, has positive integercoefficients and two real roots. If one of the roots is -2/5 and the difference between the roots is 2, find the equation.
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A quadratic equation, in general form, has positive integercoefficients and two real roots. If one of the roots is -2/5 and the difference between the roots is 2, find the equation.
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If -2/5 is a root, (5x+2) is a factor.
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If -2/5+2 = -2/5+10/5 = 8/5 is a root, (5x-8) is a factor.
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Equation:
f(x) = (5x+2)(5x-8) = 25x^2-30x-16
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Cheers,
Stan H.
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Answer by josgarithmetic(39617) (Show Source):
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