SOLUTION: How do I solve the equation y=square root of 3y+10?

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Question 7622: How do I solve the equation y=square root of 3y+10?
Answer by prabhjyot(165) About Me  (Show Source):
You can put this solution on YOUR website!
y=sqrt%283y%2B10%29
Squaring both sides we get
y%5E2+=+%28sqrt%283y%2B10%29%29%5E2
Y%5E2=+3y%2B10
y%5E2+-+3y+-10=0
This is a quadratic equation and we can solve this by usingthe formulae
-b%2B-sqrt%28b%5E2-4ac%29%2F2a
where
a=1,b=-3 and c=-10
Substituting values in the formulae
3%2B-sqrt%28%28-3%29%5E2-4%2A1%2A-10%29%2F2
%283%2B-+7%29%2F2
y=5,-1%2F2