Solve for xx x x . Write the smaller solution first, and the larger solution second. Round to two decimal places. (x+7)2−11=0(x + 7)^2 - 11 = 0 (x+7) 2 −11=0 left parenthesis, x, plus, 7, right parenthesis, squared, minus, 11, equals, 0 smaller x=\text{smaller }x = smaller x= start text, s, m, a, l, l, e, r, space, end text, x, equals larger x=\text{larger } x = larger x= start text, l, a, r, g, e, r, space, end text, x, equals

Respuesta :

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]