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.

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Raise to the power of .

Simplify .

Simplify each term.

Use the power rule to distribute the exponent.

Apply the product rule to .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Raise to the power of .

Combine the numerators over the common denominator.

Add and .

Divide by .

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 .

Any root of is .

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

First, use the positive value of the to find the first solution.

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

Add to both sides of the equation.

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Add and .

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

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

Add to both sides of the equation.

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 .

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

Solve by Completing the Square x^2-3x=-5/4