Answered

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
​

Answer :

Answer:

see explanation

Step-by-step explanation:

1

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

x + 5 = ± [tex]\sqrt{4}[/tex] = ± 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 = ± [tex]\sqrt{7}[/tex] ( subtract 6 from both sides )

x = - 6 ± [tex]\sqrt{7}[/tex], thus

x = - 6 - [tex]\sqrt{7}[/tex]

x = - 6 + [tex]\sqrt{7}[/tex]

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3

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

x - 2 = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± 3[tex]\sqrt{2}[/tex] ( add 2 to both sides )

x = 2 ± 3[tex]\sqrt{2}[/tex], thus

x = 2 - 3[tex]\sqrt{2}[/tex]

x = 2 + 3[tex]\sqrt{2}[/tex]

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