# Solve for x 4=x^2-7

Rewrite the equation as .

Move all terms not containing to the right side of the equation.

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Add to both sides of the equation.

Add and .

Take the square root of both sides of the equation to eliminate the exponent on the left side.

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.

Next, use the negative value of the to find the second solution.

The complete solution is the result of both the positive and negative portions of the solution.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

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