Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$H ( x ) = 5 x ^ { 2 } - 39 x - 8$$
A) $x = - \frac { 1 } { 5 } , x = 8$
B) $x = - \frac { 1 } { 8 } , x = - 5$
C) $x = - 5 , x = 8$
D) $x = - \frac { 1 } { 8 } , x = 5$

Question

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 5$, $b = -39$, and $c = -8$. Plugging these values in gives $x = \frac{39 \pm \sqrt{(-39)^2 - 4(5)(-8)}}{2(5)}$, which simplifies to $x = \frac{39 \pm \sqrt{1521 + 160}}{10}$ = $\frac{39 \pm \sqrt{1681}}{10}$ = $\frac{39 \pm 41}{10}$, resulting in $x = -\frac{1}{5}$ and $x = 8$.

Find the Real Zeros, If Any, of Each Quadratic Function H(x)=5x2−39x−8H ( x ) = 5 x ^ { 2 } - 39 x - 8H(x)=5x2−39x−8

Find the Real Zeros, If Any, of Each Quadratic Function $H ( x ) = 5 x ^ { 2 } - 39 x - 8$