Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$g ( x ) = ( x - 2 ) ^ { 2 } - 49$$
A) $x = - 9 , x = - 5$
B) $x = 51$
C) $x = - 5 , x = 9$
D) $x = - 7 , x = 7$

Question

Quizplus · Accepted Answer

To find the zeros, set $g(x) = 0$: $(x - 2)^2 - 49 = 0$. Add 49 to both sides: $(x - 2)^2 = 49$. Take the square root: $x - 2 = \pm 7$. Solve for $x$: $x = 9$ and $x = -5$.

Find the Zeros of the Quadratic Function Using the Square g(x)=(x−2)2−49g ( x ) = ( x - 2 ) ^ { 2 } - 49g(x)=(x−2)2−49

Find the Zeros of the Quadratic Function Using the Square $g ( x ) = ( x - 2 ) ^ { 2 } - 49$