Solve Using the Square Root Property (x-17)^2=18

Math
(x-17)2=18
Take the square root of each side of the equation to set up the solution for x
(x-17)2⋅12=±18
Remove the perfect root factor x-17 under the radical to solve for x.
x-17=±18
Simplify the right side of the equation.
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Rewrite 18 as 32⋅2.
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Factor 9 out of 18.
x-17=±9(2)
Rewrite 9 as 32.
x-17=±32⋅2
x-17=±32⋅2
Pull terms out from under the radical.
x-17=±32
x-17=±32
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-17=32
Add 17 to both sides of the equation.
x=32+17
Next, use the negative value of the ± to find the second solution.
x-17=-32
Add 17 to both sides of the equation.
x=-32+17
The complete solution is the result of both the positive and negative portions of the solution.
x=32+17,-32+17
x=32+17,-32+17
The result can be shown in multiple forms.
Exact Form:
x=32+17,-32+17
Decimal Form:
x=21.24264068…,12.75735931…
Solve Using the Square Root Property (x-17)^2=18

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