Solve Using the Square Root Property (x-13)^2=20

Math
(x-13)2=20
Take the square root of each side of the equation to set up the solution for x
(x-13)2⋅12=±20
Remove the perfect root factor x-13 under the radical to solve for x.
x-13=±20
Simplify the right side of the equation.
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Rewrite 20 as 22⋅5.
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Factor 4 out of 20.
x-13=±4(5)
Rewrite 4 as 22.
x-13=±22⋅5
x-13=±22⋅5
Pull terms out from under the radical.
x-13=±25
x-13=±25
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-13=25
Add 13 to both sides of the equation.
x=25+13
Next, use the negative value of the ± to find the second solution.
x-13=-25
Add 13 to both sides of the equation.
x=-25+13
The complete solution is the result of both the positive and negative portions of the solution.
x=25+13,-25+13
x=25+13,-25+13
The result can be shown in multiple forms.
Exact Form:
x=25+13,-25+13
Decimal Form:
x=17.47213595…,8.52786404…
Solve Using the Square Root Property (x-13)^2=20

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