SOLUTION: The square root of 5 more than twice a number is 7. Find the number

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Question 536294: The square root of 5 more than twice a number is 7. Find the number
Found 2 solutions by fcabanski, MathTherapy:
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number x.


Square root of 5 more than means add sqrt%285%29 to something.


Add it to what? More than twice the number. That's 2x.


2x%2Bsqrt%285%29 is 7 means = 7.


2x%2Bsqrt%285%29=7


Subtract sqrt%285%29 from both sides.


2x=7-sqrt%285%29


Divide both sides by 2.


x=%287-sqrt%285%29%29%2F2+=+2.38196601

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Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
The square root of 5 more than twice a number is 7. Find the number

Let the number be N

Then, based on given info., we have: sqrt%282N+%2B+5%29+=+7

%28sqrt%282N+%2B+5%29%29%5E2+=+7%5E2 ------ Squaring equation

2N + 5 = 49

2N = 44

N, or number = 44%2F2, or highlight_green%2822%29

You should be able to do your own check!

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