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.
-$$G ( x ) = x ^ { 2 } + 7 x - 18$$
A) $x = - 9 , x = 2$
B) $x = 9 , x = 2$
C) $x = - 9 , x = - 2$
D) $x = 9 , x = - 2$

Question

Quizplus · Accepted Answer

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ for a quadratic equation $ax^2 + bx + c = 0$. Here, $a = 1$, $b = 7$, and $c = -18$. Plugging these into the formula gives $$x = \frac{-7 \pm \sqrt{7^2 - 4(1)(-18)}}{2(1)} = \frac{-7 \pm \sqrt{49 + 72}}{2} = \frac{-7 \pm \sqrt{121}}{2} = \frac{-7 \pm 11}{2}$$, which results in $x = -9$ and $x = 2$.

Find the Real Zeros, If Any, of Each Quadratic Function G(x)=x2+7x−18G ( x ) = x ^ { 2 } + 7 x - 18G(x)=x2+7x−18

Find the Real Zeros, If Any, of Each Quadratic Function $G ( x ) = x ^ { 2 } + 7 x - 18$