Add to both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide 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 .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

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:

Solve by Completing the Square 2x^2+5x-1=0