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# Algebra

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If the roots of the quadratic equation 1/2*x^2 + 99x + c = 0 are x = -99 + sqrt(8021) and x = -99 - sqrt(8021), then what is the value of c?

Jul 17, 2021

#1
+873
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$\frac{c}{a} = x_1 x_2$

$2c = (-99 + \sqrt{8021})(-99-\sqrt{8021}) = 99^2 - 8021 = 9801 - 8021 = 1780$

$c = 890$

Jul 17, 2021