1.Solve using square roots.
(x+5)2=4
2.Solve using square roots.
(x+6)2=7
3.:
Solve using square roots.
(x−2)2=18

see explanation

Step-by-step explanation:

1

(x + 5)² = 4 ( take the square root of both sides )

x + 5 = ± = ± 2 ( subtract 5 from both sides )

x = - 5 ± 2, thus

x = - 5 - 2 = - 7

x = - 5 + 2 = - 3

--------------------------------------------

2

(x + 6)² = 7 ( take the square root of both sides )

x + 6 = ± ( subtract 6 from both sides )

x = - 6 ± , thus

x = - 6 -

x = - 6 +

------------------------------------------------

3

(x - 2)² = 18 ( take the square root of both sides )

x - 2 = ± = ± = ± 3 ( add 2 to both sides )

x = 2 ± 3, thus

x = 2 - 3

x = 2 + 3