Solve Using the Square Root Property (x-3)^2+6=0

Math
(x-3)2+6=0
Subtract 6 from both sides of the equation.
(x-3)2=-6
Take the square root of each side of the equation to set up the solution for x
(x-3)2⋅12=±-6
Remove the perfect root factor x-3 under the radical to solve for x.
x-3=±-6
Simplify the right side of the equation.
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Rewrite -6 as -1(6).
x-3=±-1⋅6
Rewrite -1(6) as -1⋅6.
x-3=±-1⋅6
Rewrite -1 as i.
x-3=±i6
x-3=±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-3=i6
Add 3 to both sides of the equation.
x=i6+3
Next, use the negative value of the ± to find the second solution.
x-3=-i6
Add 3 to both sides of the equation.
x=-i6+3
The complete solution is the result of both the positive and negative portions of the solution.
x=i6+3,-i6+3
x=i6+3,-i6+3
Solve Using the Square Root Property (x-3)^2+6=0

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