Question

1.Solve using square roots.

Answer 1

Answer:

see explanation

Step-by-step explanation:

1

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

x + 5 = ± $\sqrt{4}$ = ± 2 ( subtract 5 from both sides )

x = - 5 ± 2, thus

x = - 5 - 2 = - 7

x = - 5 + 2 = - 3

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2

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

x + 6 = ± $\sqrt{7}$ ( subtract 6 from both sides )

x = - 6 ± $\sqrt{7}$, thus

x = - 6 - $\sqrt{7}$

x = - 6 + $\sqrt{7}$

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3

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

x - 2 = ± $\sqrt{18}$ = ± $\sqrt{9(2)}$ = ± 3$\sqrt{2}$ ( add 2 to both sides )

x = 2 ± 3$\sqrt{2}$, thus

x = 2 - 3$\sqrt{2}$

x = 2 + 3$\sqrt{2}$