Solve using the Square Root Property 5x^2+13=73

Math
5×2+13=73
Move all terms not containing x to the right side of the equation.
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Subtract 13 from both sides of the equation.
5×2=73-13
Subtract 13 from 73.
5×2=60
5×2=60
Divide each term by 5 and simplify.
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Divide each term in 5×2=60 by 5.
5×25=605
Cancel the common factor of 5.
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Cancel the common factor.
5×25=605
Divide x2 by 1.
x2=605
x2=605
Divide 60 by 5.
x2=12
x2=12
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±12
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
x=±4(3)
Rewrite 4 as 22.
x=±22⋅3
x=±22⋅3
Pull terms out from under the radical.
x=±23
x=±23
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=23
Next, use the negative value of the ± to find the second solution.
x=-23
The complete solution is the result of both the positive and negative portions of the solution.
x=23,-23
x=23,-23
x=23,-23
The result can be shown in multiple forms.
Exact Form:
x=23,-23
Decimal Form:
x=3.46410161…,-3.46410161…
Solve using the Square Root Property 5x^2+13=73

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