Find the x intercepts of $y = x ^ { 2 } + 8 x - 3$ . Separate answers with a comma.
A) $- 4 + \sqrt { 19 }$ , $\sqrt { 19 } + 4$
B) $4 - \sqrt { 19 }$ , $\sqrt { 19 } - 4$
C) no x intercepts
D) $- 4 - \sqrt { 19 }$ , $\sqrt { 19 } - 4$

Question

Quizplus · Accepted Answer

The x-intercepts are found by solving $x^2 + 8x - 3 = 0$. Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = 8$, and $c = -3$, we get $x = \frac{-8 \pm \sqrt{64 + 12}}{2}$, which simplifies to $x = \frac{-8 \pm \sqrt{76}}{2}$. Further simplification gives the intercepts as $-4 \pm \sqrt{19}$, corresponding to choice D.

Find the X Intercepts Of y=x2+8x−3y = x ^ { 2 } + 8 x - 3y=x2+8x−3

Find the X Intercepts Of $y = x ^ { 2 } + 8 x - 3$