Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$G ( x ) = ( 2 x - 1 ) ^ { 2 } - 9$$
A) x = -4, x =2
B) x = -2, x = 4
C) x = -2, x = 1
D) x = -1, x = 2

Question

Quizplus · Accepted Answer

To find the zeros of the quadratic function $G(x) = (2x - 1)^2 - 9$, set $G(x) = 0$ and solve for $x$:$$(2x - 1)^2 - 9 = 0$$$$(2x - 1)^2 = 9$$Take the square root of both sides:$$2x - 1 = \pm3$$Solving each equation:$$2x - 1 = 3 \Rightarrow 2x = 4 \Rightarrow x = 2$$$$2x - 1 = -3 \Rightarrow 2x = -2 \Rightarrow x = -1$$Thus, the zeros are $x = -1$ and $x = 2$, which are the x-intercepts of the graph.

Find the Zeros of the Quadratic Function Using the Square G(x)=(2x−1)2−9G ( x ) = ( 2 x - 1 ) ^ { 2 } - 9G(x)=(2x−1)2−9

Find the Zeros of the Quadratic Function Using the Square $G ( x ) = ( 2 x - 1 ) ^ { 2 } - 9$