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Solving Quadratic Equations

Algebra IISophomoreUpdated October 25, 2026

Step-by-step processes for completing the square and the quadratic formula.

Solving Quadratic Equations

Completing the Square Step 1: isolate variable terms on one side to make a binomial (ax^2 + bx = c).

Completing the Square Step 2: calculate (b / 2)^2.

Completing the Square Step 3: add that calculated value to both sides of the equation.

Completing the Square Step 4: factor the perfect square trinomial on the left into (x - h)^2.

Completing the Square Step 5: take the square root of both sides.

Completing the Square Step 6: solve for x.

Quadratic Formula: x = (-b +/- sqrt(b^2 - 4ac)) / (2a).

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