SOLUTION: The square of the sum of a number and 5 is 36. Find the numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The square of the sum of a number and 5 is 36. Find the numbers      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 274391: The square of the sum of a number and 5 is 36. Find the numbers
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the number.
%28n%2B5%29%5E2+=+36 Take the square root of both sides. You'll get a positive and a negative solution.
n%2B5+=+6 or n%2B5+=+-6 Subtract 5 from both sides in each solution.
highlight%28n+=+1%29 or highlight%28n+=+-11%29
Check:
%28n%2B5%29%5E2+=+36 Substitute n = 1.
%281%2B5%29%5E2+=+36
6%5E2+=+36
36+=+36
%28n%2B5%29%5E2+=+35 Substitute n = -11.
%28-11%2B5%29%5E2+=+36
%28-6%29%5E2+=+36
36+=+36