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.
-$$g ( x ) = x ^ { 2 } - 12 - 5 x$$
A) $x = \frac { 5 + \sqrt { 73 } } { 2 }$
B) $x = 5 , x = 12$
C) $x = \frac { 5 \pm \sqrt { 73 } } { 2 }$
D) No real zeros or $x$-intercepts

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, $a = 1$, $b = -5$, and $c = -12$. Substituting these values into the formula gives $$x = \frac{5 \pm \sqrt{(-5)^2 - 4(1)(-12)}}{2(1)} = \frac{5 \pm \sqrt{25 + 48}}{2} = \frac{5 \pm \sqrt{73}}{2}$$, which corresponds to choice C.

Find the Real Zeros, If Any, of Each Quadratic Function g(x)=x2−12−5xg ( x ) = x ^ { 2 } - 12 - 5 xg(x)=x2−12−5x

Find the Real Zeros, If Any, of Each Quadratic Function $g ( x ) = x ^ { 2 } - 12 - 5 x$