Answer:
[tex](a)\ x + 4 = \±\sqrt9[/tex] ---- [tex]x =\{-7,- 1\}[/tex]
[tex](b)\ x - 4 = \±\sqrt9[/tex] ---- [tex]x = \{1,7\}[/tex]
[tex](c)\ x + 3 = \±\sqrt{16}[/tex] ----- [tex]x = \{-7,1\}[/tex]
[tex](d)\ x - 3 = \±\sqrt{16}[/tex] ---- [tex]x = \{-1,7\}[/tex]
Step-by-step explanation:
Given
The attached equations
Required
Match each with the solution
[tex](a)\ x + 4 = \±\sqrt9[/tex]
Take the square root of 9
[tex]x + 4 = \±3[/tex]
Solve for x
[tex]x =- 4 \±3[/tex]
Split
[tex]x =\{- 4 -3,- 4 +3\}[/tex]
[tex]x =\{-7,- 1\}[/tex]
[tex](b)\ x - 4 = \±\sqrt9[/tex]
Take the square root of 9
[tex]x - 4 = \±3[/tex]
Solve for x
[tex]x = 4 \±3[/tex]
Split
[tex]x = \{4 -3,4+3\}[/tex]
[tex]x = \{1,7\}[/tex]
[tex](c)\ x + 3 = \±\sqrt{16}[/tex]
Take the square root of 16
[tex]x + 3 = \±4[/tex]
Solve for x
[tex]x =- 3 \±4[/tex]
Split
[tex]x = \{-3-4,-3+4\}[/tex]
[tex]x = \{-7,1\}[/tex]
[tex](d)\ x - 3 = \±\sqrt{16}[/tex]
Take the square root of 16
[tex]x - 3 = \±4[/tex]
Solve for x
[tex]x =3 \±4[/tex]
Split
[tex]x = \{3-4,3+4\}[/tex]
[tex]x = \{-1,7\}[/tex]
