SOLUTION: Please help me solve this equation. 36x^2=25

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Question 131574: Please help me solve this equation.
36x^2=25
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
36x%5E2=25

Divide both sides by 36:

x%5E2=25%2F36

Take the square root of both sides, remembering to consider both the positive and negative roots:

x=sqrt%2825%2F36%29 or x=-sqrt%2825%2F36%29.


Recall that sqrt%28a%2Fb%29=sqrt%28a%29%2Fsqrt%28b%29, so:

x=sqrt%2825%29%2Fsqrt%2836%29 or x=-sqrt%2825%29%2Fsqrt%2836%29
x=5%2F6 or x=-5%2F6

Check:
36%285%2F6%29%5E2=36%2825%2F36%29=25 and 36%28-5%2F6%29%5E2=36%2825%2F36%29=25 Answer checks.