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# Roots

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If the roots of the quadratic equation 1/2*x^2 + 99x + c are x  = -99 - sqrt(7801) and -99 + sqrt(7801), then what is the value of c?

Oct 10, 2021

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What is the value of c?

Hello Guest!

$$0.5x^2 + 99x + c=0$$

$$x = {-99 \pm \sqrt{99^2-4\cdot 0.5\cdot c} \over 2\cdot 0.5}$$

$$99^2-4\cdot 0.5\cdot c=7801\\c=-\dfrac{7801-99^2}{2}$$

$$c=1000$$

The value of c is 1000.

!

Oct 10, 2021