Find the zeros of the function. Give exact answers.
-$$f ( x ) = x ^ { 2 } - 5 x - 8$$
A) $\frac { 5 \pm \sqrt { 57 } } { 2 }$
B) $\frac { - 5 \pm \sqrt { 57 } i } { 2 }$
C) $\frac { - 25 \pm \sqrt { 57 } } { 2 }$
D) $\frac { 15 \pm \sqrt { 57 } } { 2 }$

Question

Quizplus · Accepted Answer

To find the zeros of the function $f(x) = x^2 - 5x - 8$, we use the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = -5$, and $c = -8$. Substituting these values gives $x = \frac{5 \pm \sqrt{(-5)^2 - 4(1)(-8)}}{2(1)} = \frac{5 \pm \sqrt{25 + 32}}{2} = \frac{5 \pm \sqrt{57}}{2}$.

Find the Zeros of the Function f(x)=x2−5x−8f ( x ) = x ^ { 2 } - 5 x - 8f(x)=x2−5x−8

Find the Zeros of the Function $f ( x ) = x ^ { 2 } - 5 x - 8$