Question

Solve the following quadratic equation for all values of xx in simplest form.
( x + 10 )^2 − 14 = 11

Answer 1

Answer:

x = - 15 , x = - 5

Step-by-step explanation:

given the quadratic equation

(x + 10)² - 14 = 11 ( add 14 to both sides )

(x + 10)² = 25 ( take square root of both sides )

$\sqrt{(x+10)^2}$ = ± $\sqrt{25}$ , that is

x + 10 = ± 5 ( subtract 10 from both sides )

x = - 10 ± 5

Then

x = - 10 - 5 = - 15

x = - 10 + 5 = - 5

The solutions are x = - 15 , x = - 5