Solve for y (y-2)^2=11

Math
(y-2)2=11
Take the square root of each side of the equation to set up the solution for y
(y-2)2⋅12=±11
Remove the perfect root factor y-2 under the radical to solve for y.
y-2=±11
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
y-2=11
Add 2 to both sides of the equation.
y=11+2
Next, use the negative value of the ± to find the second solution.
y-2=-11
Add 2 to both sides of the equation.
y=-11+2
The complete solution is the result of both the positive and negative portions of the solution.
y=11+2,-11+2
y=11+2,-11+2
The result can be shown in multiple forms.
Exact Form:
y=11+2,-11+2
Decimal Form:
y=5.31662479…,-1.31662479…
Solve for y (y-2)^2=11

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