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.
-$$g ( x ) = x ^ { 2 } - 15 - 3 x$$
A) $x = \frac { 3 + \sqrt { 69 } } { 2 }$
B) $x = 3 , x = 15$
C) $x = \frac { 3 \pm \sqrt { 69 } } { 2 }$
D) No real zeros or x-intercepts

Question

Quizplus · Accepted Answer

To find the real zeros of the quadratic function $g(x) = x^2 - 15 - 3x$, we can rewrite it in standard form as $g(x) = x^2 - 3x - 15$. Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ with $a = 1$, $b = -3$, and $c = -15$, we get $x = \frac{3 \pm \sqrt{(-3)^2 - 4(1)(-15)}}{2(1)} = \frac{3 \pm \sqrt{9 + 60}}{2} = \frac{3 \pm \sqrt{69}}{2}$. These are the real zeros and also the x-intercepts of the graph.

Find the Real Zeros, If Any, of Each Quadratic Function g(x)=x2−15−3xg ( x ) = x ^ { 2 } - 15 - 3 xg(x)=x2−15−3x

Find the Real Zeros, If Any, of Each Quadratic Function $g ( x ) = x ^ { 2 } - 15 - 3 x$