SOLUTION: One eighth of the square root of 7 less than a number is 2. What is the number?

Question 17206: One eighth of the square root of 7 less than a number is 2. What is the number?
Answer by adcoy(3) (Show Source): You can put this solution on YOUR website!
I worked this problem backwards. The first item tells you that you need 1/8 of a number. The final answer tells you it is 2. So, 1/8 of some number is 2. That is x/8 = 2. This is 16. So the top part of my fraction must equal 16. It tells me the top part of the fraction is the sqare root of a number (x) less 7. So the squre root of x-7 = 16. Square both sides of the equation you get x-7=256, x = 263. Plug in an x value of 263 and check.
the square root of 263-7 = 16, 16/8 = 2. The answer is x = 263
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