The quadratic \(x^2 + 5x + c \) has roots in the form of \(x = \frac{-5 \pm \sqrt{c}}{2}\). What is the value of \(c\)?
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By the quadratic formula, c = 10.
"c" must be the value of the discriminant
Thus
5^2 - 4(1) (c) = c
25 - 4c = c
25 = 5c
c = 5
Check for yourself that x^ 2 + 5x + 5 = 0 has roots of the form given