Question

F(x)=(x−2)^2 -9 Find the solutions

Answer 1

Answer:

x=1 or x=-5

Step-by-step explanation:

The given function is

$f(x) = {(x - 2)}^{2} - 9$

The solutions are the roots of the function.

This is where the graph of the function touches the x-axis.

We set the equation to zero to get:

${(x - 2)}^{2} - 9 = 0$

${(x - 2)}^{2} = 9$

We take square root to get:

${(x - 2)} = \pm \sqrt{9}$

$x - 2= \pm 3$

$x= 2 \pm 3$

$x= 2 - 3 \: or \: x = 2 + 3$

$x = - 1 \: or \: x = 5$