Respuesta :

Answer:

x = 7, -11

Step-by-step explanation:

(x + 2)^2 = 81

(7 + 2)^2 = 81      Take one value of x

9^2 = 81              Solve for the exponent

81 = 81                Final Answer

(x + 2)^2 = 81

(-11 + 2)^2 = 81   Take one value of x

9^2 = 81             Solve for the exponent

81 = 81

Understandings:

Understand how to solve for exponents

For example the ones that we used in this situation, in order to solve for an exponent, multiply the number by itself twice = 9 x 9 = 9^2 = 81

Answer:

x = 7 , x = - 11

Step-by-step explanation:

[tex](x+ 2)^2 = 81\\\\(x+2) = \sqrt{81}\\\\(x+2) = \pm 9\\\\x + 2 = 9 \ , \ x + 2 = - 9\\\\x = 9 - 2 \ , \ x = - 9 - 2\\\\x = 7 \ , \ x = -11[/tex]