Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$g ( x ) = ( x - 7 ) ^ { 2 } - 36$$
A) x = 43
B) x = 1, x = 13
C) x = -6, x = 6
D) x = -13, x = 1

Question

Quizplus · Accepted Answer

To find the zeros of the function, set $g(x) = 0$ and solve for $x$: $(x - 7)^2 - 36 = 0$. Adding 36 to both sides gives $(x - 7)^2 = 36$. Taking the square root of both sides gives $x - 7 = \pm6$. Solving for $x$ gives $x = 7 \pm 6$, which results in $x = 1$ and $x = 13$.

Find the Zeros of the Quadratic Function Using the Square g(x)=(x−7)2−36g ( x ) = ( x - 7 ) ^ { 2 } - 36g(x)=(x−7)2−36

Find the Zeros of the Quadratic Function Using the Square $g ( x ) = ( x - 7 ) ^ { 2 } - 36$