SOLUTION: The sum of the number and it's positive square root is 7/36. Find the number. Please help me to solve this problem with full details. Thanks.

Algebra ->  Finance -> SOLUTION: The sum of the number and it's positive square root is 7/36. Find the number. Please help me to solve this problem with full details. Thanks.       Log On


   

Question 1023340: The sum of the number and it's positive square root is 7/36. Find the number.
Please help me to solve this problem with full details. Thanks.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N%2Bsqrt%28N%29=7%2F36
Substituting,
x=sqrt%28N%29
x%5E2=N}
So then,
x%5E2%2Bx-7%2F36=0
36x%5E2%2B36x-7=0
%286x-1%29%286x%2B7%29=0
Only solve for the positive value,
6x-1=0
6x=1
x=1%2F6
sqrt%28N%29=1%2F6
N=1%2F36