SOLUTION: dividing 4 less than the square of a number by 2 more than than the number gives a result of 12. find the number

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Question 975871: dividing 4 less than the square of a number by 2 more than than the number gives a result of 12. find the number
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Description of the first member is overly-complicated.

dividing 4 less than the square of a number by 2 more than than the number

"...two more than the number...",
n+2

"...the square of a number...",
sqrt(n)

"...the square of a number by 2 more than than the number...",
recognize that "by" indicates DIVISION,
sqrt(n)/(n+2)

Now looking at the entire first-described member....
%28-4%2Bsqrt%28n%29%29%2F%28n%2B2%29
which now includes the first phrase of the problem description.
This member or expression can also be stated %28sqrt%28n%29-4%29%2F%28n%2B2%29.

The member equal to that is given as 12. Solve for n:
highlight_green%28%28sqrt%28n%29-4%29%2F%28n%2B2%29=12%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

dividing 4 less than the square of a number by 2 more than than the number gives a result of 12. find the number
Number: highlight_green%2814%29