How to Solve Quadratic Equations by Completing the Square?

Start with the quadratic equation in the form (ax^2 + bx + c = 0)

If (a neq 1), divide every term by (a)

Move the constant term to the other side of the equation

Take half of the coefficient of (x)

Square that value

Add the square to both sides of the equation

Rewrite the left side as a perfect square trinomial

Factor the perfect square trinomial into binomial form

Take the square root of both sides

Solve for (x)

Simplify the final answers

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