Find the x-intercepts of the graph of each equation.
-$y = 5 x ^ { 2 } - 19 x - 4$
A) $\left( - \frac { 1 } { 5 } , 0 \right) , ( 4,0 )$
B) $( - 5,0 ) , ( 4,0 )$
C) $\left( \frac { 1 } { 19 } , 0 \right) , \left( - \frac { 1 } { 5 } , 0 \right)$
D) $\left( - \frac { 1 } { 5 } , 0 \right)$,

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $y = 0$ and solve the quadratic equation $5x^2 - 19x - 4 = 0$. Using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 5$, $b = -19$, and $c = -4$, we find the solutions $x = -\frac{1}{5}$ and $x = 4$, corresponding to the x-intercepts $\left( - \frac { 1 } { 5 } , 0 \right)$ and $(4,0)$.

Find the X-Intercepts of the Graph of Each Equation y=5x2−19x−4y = 5 x ^ { 2 } - 19 x - 4y=5x2−19x−4

Find the X-Intercepts of the Graph of Each Equation $y = 5 x ^ { 2 } - 19 x - 4$