Find the x-intercepts (if any)of the graph of the function. If the x-intercepts are irrational, round your answers to the
nearest tenth.
-$$f ( x ) = x ^ { 2 } + 4 x - 7$$
A)x-intercepts: (1.3, 0)and (-5.3, 0)
B)x-intercept: (4, 0)
C)x-intercepts: (-4, 0)and (3, 0)
D)No x-intercepts

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$ and solve for $x$. Thus, $x^2 + 4x - 7 = 0$. Using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = 4$, and $c = -7$, we get $x = \frac{-4 \pm \sqrt{16 + 28}}{2}$ = $\frac{-4 \pm \sqrt{44}}{2}$. Simplifying, we get $x = -2 \pm \sqrt{11}$, which approximately equals $1.3$ and $-5.3$.

Find the X-Intercepts (If Any)of the Graph of the Function f(x)=x2+4x−7f ( x ) = x ^ { 2 } + 4 x - 7f(x)=x2+4x−7

Find the X-Intercepts (If Any)of the Graph of the Function $f ( x ) = x ^ { 2 } + 4 x - 7$