SOLUTION: Help! I am stuck on solving a radical equation. The original problem is this: sq.rt.2y+7 plus 4 = y. I know I have to isolate the radical to one side, then square both sides of

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Question 85864: Help! I am stuck on solving a radical equation.
The original problem is this: sq.rt.2y+7 plus 4 = y.
I know I have to isolate the radical to one side, then square both sides of the equation. Getting that far, I have: (sq.rt.2y+7)= (y-4).
After that I am completely stuck! Please help!
Thank you!

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
= y
= -4 + y
= -4 + y
= [square both sides]
2y+7= = (-4 + y ) (-4 + y)[use the FOIL method to multiply]
2y+7= [set the equation equal to zero]
2y-2y+7-7=
0= [re-arrange the terms]
0= [factor}
0=(y-9)(y-1) [set each factor equal to zero and solve for the x-term]
.
y-9=0
y=9
and
y-1=0
y=1
.
check by plugging either value of x back into the original equation and solve.

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