Solve Using the Square Root Property (x+7)^2=98

Math
(x+7)2=98
Take the square root of each side of the equation to set up the solution for x
(x+7)2⋅12=±98
Remove the perfect root factor x+7 under the radical to solve for x.
x+7=±98
Simplify the right side of the equation.
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Rewrite 98 as 72⋅2.
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Factor 49 out of 98.
x+7=±49(2)
Rewrite 49 as 72.
x+7=±72⋅2
x+7=±72⋅2
Pull terms out from under the radical.
x+7=±72
x+7=±72
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+7=72
Subtract 7 from both sides of the equation.
x=72-7
Next, use the negative value of the ± to find the second solution.
x+7=-72
Subtract 7 from both sides of the equation.
x=-72-7
The complete solution is the result of both the positive and negative portions of the solution.
x=72-7,-72-7
x=72-7,-72-7
The result can be shown in multiple forms.
Exact Form:
x=72-7,-72-7
Decimal Form:
x=2.89949493…,-16.89949493…
Solve Using the Square Root Property (x+7)^2=98

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