Question 1187624: find the value of c in the equation 12x^2 + 20x + c = 0 so that the sum and product of the roots are equal Answer by ikleyn(52792) (Show Source):
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find the value of c in the equation 12x^2 + 20x + c = 0 so that the sum and product of the roots are equal.
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Nothing is easier.
According to Vieta's theorem, the sum of the roots is equal to
and the product of the roots is .
Since the sum of the roots equals to the product of the roots, we have this equality
= .
It gives c = -20. ANSWER
