# Solve by Completing the Square (x to the power of two) divide two plus three divide two x equals six

Combine and .

Multiply each term in by .

Simplify each term.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .

Add the term to each side of the equation.

Simplify each term.

Apply the product rule to .

Raise to the power of .

Raise to the power of .

Simplify .

Simplify each term.

Apply the product rule to .

Raise to the power of .

Raise to the power of .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Factor the perfect trinomial square into .

Take the square root of each side of the equation to set up the solution for

Remove the perfect root factor under the radical to solve for .

Simplify the right side of the equation.

Rewrite as .

Simplify the denominator.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Remove parentheses.

Subtract from both sides of the equation.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

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