Solve Using the Square Root Property 375*4=500*x^2

Math
375⋅4=500⋅x2
Rewrite the equation as 500⋅x2=375⋅4.
500⋅x2=375⋅4
Multiply 375 by 4.
500⋅x2=1500
Divide each term by 500 and simplify.
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Divide each term in 500⋅x2=1500 by 500.
500⋅x2500=1500500
Cancel the common factor of 500.
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Cancel the common factor.
500⋅x2500=1500500
Divide x2 by 1.
x2=1500500
x2=1500500
Divide 1500 by 500.
x2=3
x2=3
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±3
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=3
Next, use the negative value of the ± to find the second solution.
x=-3
The complete solution is the result of both the positive and negative portions of the solution.
x=3,-3
x=3,-3
The result can be shown in multiple forms.
Exact Form:
x=3,-3
Decimal Form:
x=1.73205080…,-1.73205080…
Solve Using the Square Root Property 375*4=500*x^2

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