Question

(x+2)^1/2-5=-2
Answers is x=7
SHOW WORK

Answer 1

`(\text{x}+2)^(1/2)-5 = -2\\\\\sqrt{\text{x}+2}-5 = -2\\\\\sqrt{\text{x}+2} = -2+5\\\\\sqrt{\text{x}+2} = 3\\\\(\sqrt{\text{x}+2})^2 = 3^2\\\\\text{x}+2= 9\\\\\text{x}= 9-2\\\\\text{x}= 7\\\\`

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Check:

`(\text{x}+2)^(1/2)-5 = -2\\\\\sqrt{\text{x}+2}-5 = -2\\\\√(7+2)-5 = -2\\\\√(9)-5 = -2\\\\3-5 = -2\\\\-2 = -2 \ \ \ \checkmark\\\\`

The answer is confirmed.

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Answer: x = 7