Solve Using the Square Root Property 2x^2-400=0

Math
2×2-400=0
Add 400 to both sides of the equation.
2×2=400
Divide each term by 2 and simplify.
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Divide each term in 2×2=400 by 2.
2×22=4002
Cancel the common factor of 2.
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Cancel the common factor.
2×22=4002
Divide x2 by 1.
x2=4002
x2=4002
Divide 400 by 2.
x2=200
x2=200
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±200
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 200 as 102⋅2.
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Factor 100 out of 200.
x=±100(2)
Rewrite 100 as 102.
x=±102⋅2
x=±102⋅2
Pull terms out from under the radical.
x=±102
x=±102
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=102
Next, use the negative value of the ± to find the second solution.
x=-102
The complete solution is the result of both the positive and negative portions of the solution.
x=102,-102
x=102,-102
x=102,-102
The result can be shown in multiple forms.
Exact Form:
x=102,-102
Decimal Form:
x=14.14213562…,-14.14213562…
Solve Using the Square Root Property 2x^2-400=0

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