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

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Question 129148: The square root of 5 more than twice a number is 7. Find the number.
Answer by Construe(3) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be x.
Then twice the number is 2x.
Then 5 more than twice the number is 2x%2B5.
Then the square root of 5 more than twice the number is sqrt%282x%2B5%29, which we know is equal to 7.
So, we obtain this equation:
sqrt%282x%2B5%29=7
Squaring both sides:
%28sqrt%282x%2B5%29%29%5E2=7%5E2
2x%2B5=7%2A7=49
2x=49-5=44
x=44%2F2=22
The number is 22.