# Solve for y (y-7)^2=25

(y-7)2=25
Take the square root of each side of the equation to set up the solution for y
(y-7)2⋅12=±25
Remove the perfect root factor y-7 under the radical to solve for y.
y-7=±25
Simplify the right side of the equation.
Rewrite 25 as 52.
y-7=±52
Pull terms out from under the radical, assuming positive real numbers.
y-7=±5
y-7=±5
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
y-7=5
Move all terms not containing y to the right side of the equation.
Add 7 to both sides of the equation.
y=5+7
y=12
y=12
Next, use the negative value of the ± to find the second solution.
y-7=-5
Move all terms not containing y to the right side of the equation.
Add 7 to both sides of the equation.
y=-5+7
y=2
y=2
The complete solution is the result of both the positive and negative portions of the solution.
y=12,2
y=12,2
Solve for y (y-7)^2=25

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