SOLUTION: y=√(3y+10)please help solve

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Question 155882: y=√(3y+10)please help solve
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
y = sqrt%283y%2B10%29
Square both sides:
y^2 = 3y + 10
Arrange as a quadratic equation on the left:
y^2 - 3y - 10 = 0
Factor
(y-5)(y+2) = 0
Two solutions
y = +5
y = -2
:
Always test solutions in the original equation, especially when dealing with radicals
y = 5:
5 = sqrt%283%285%29%2B10%29
5 = sqrt%2825%29 a good solution
:
y =-2:
-2 = sqrt%283%28-2%29%2B10%29
-2 = sqrt%284%29
-2 does not = +2, not a solution