SOLUTION: Can I have some help with this equation? x^2-6/5x+9/25=0

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Question 120203: Can I have some help with this equation?

x^2-6/5x+9/25=0

Found 2 solutions by solver91311, checkley71:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Actually, this looks like a horror, but it isn't really that bad.

x%5E2-%286%2F5%29x%2B9%2F25=0

Note that 9%2F25 = %283%2F5%29%5E2, and -%283%2F5%29%2B%28-%283%2F5%29%29=-%286%2F5%29

So, this factors to:

%28x-3%2F5%29%28x-3%2F5%29=0

%28x-3%2F5%29%28x-3%2F5%29=0 if and only if x=3%2F5, so the two roots of this equation are 3%2F5 and 3%2F5.

Hope this helps,
John

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X^2-6/5X+9/25=0
(X-3/5)(X-3/5)=0
X-3/5=0
X=3/5 ANSWER.