Solve using the Square Root Property (x-5)^2+10=4

Math
(x-5)2+10=4
Subtract 10 from both sides of the equation.
(x-5)2=4-10
Take the square root of each side of the equation to set up the solution for x
(x-5)2⋅12=±4-10
Remove the perfect root factor x-5 under the radical to solve for x.
x-5=±4-10
Simplify the right side of the equation.
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Subtract 10 from 4.
x-5=±-6
Rewrite -6 as -1(6).
x-5=±-1⋅6
Rewrite -1(6) as -1⋅6.
x-5=±-1⋅6
Rewrite -1 as i.
x-5=±i6
x-5=±i6
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.
x-5=i6
Add 5 to both sides of the equation.
x=i6+5
Next, use the negative value of the ± to find the second solution.
x-5=-i6
Add 5 to both sides of the equation.
x=-i6+5
The complete solution is the result of both the positive and negative portions of the solution.
x=i6+5,-i6+5
x=i6+5,-i6+5
Solve using the Square Root Property (x-5)^2+10=4

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