Solve Using the Square Root Property (k-7)^2=16

Math
(k-7)2=16
Take the square root of each side of the equation to set up the solution for k
(k-7)2⋅12=±16
Remove the perfect root factor k-7 under the radical to solve for k.
k-7=±16
Simplify the right side of the equation.
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Rewrite 16 as 42.
k-7=±42
Pull terms out from under the radical, assuming positive real numbers.
k-7=±4
k-7=±4
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.
k-7=4
Move all terms not containing k to the right side of the equation.
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Add 7 to both sides of the equation.
k=4+7
Add 4 and 7.
k=11
k=11
Next, use the negative value of the ± to find the second solution.
k-7=-4
Move all terms not containing k to the right side of the equation.
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Add 7 to both sides of the equation.
k=-4+7
Add -4 and 7.
k=3
k=3
The complete solution is the result of both the positive and negative portions of the solution.
k=11,3
k=11,3
Solve Using the Square Root Property (k-7)^2=16

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