Answer:
[tex]x = - 10.32 \: or \: x = - 3.68[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex] {(x + 7)}^{2} - 11 = 0[/tex]
Add 11 to both sides of the equation:
[tex]{(x + 7)}^{2} = 11 [/tex]
Take square root to get:
[tex]x + 7 = \pm \sqrt{11} [/tex]
Subbtract 7 from both sides.
[tex]x = - 7 \pm \sqrt{11} [/tex]
[tex]x = - 7 - \sqrt{11} \: or \: x = - 7 + \sqrt{11} [/tex]
[tex]x = - 10.32 \: or \: x = - 3.68[/tex]