If the roots of the quadratic equation 1/2*x^2 + 99x + c = 0 are \(-99 - \sqrt{9577}\) and \(-99 + \sqrt{9577}\), then what is the value of c?
(1/2)x^2 + 99x + c = 0
We have the form ax^2 + bx + c = 0
The product of the roots = c / a
So
[-99 -sqrt (9577) ] * [ -99 + sqrt (9577) ] = c / (1/2)
9801 - 9577 = c / (1/2)
224 = c / (1/2)
224 (1/2) = c = 112
