4.5: Completing the square

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Presentation transcript:

4.5: Completing the square

Solving a Quadratic Equation by Completing the Square To solve ax2 + bx + c = 0, where a ≠ 0, by completing the square, use these steps. Step 1 If a ≠ 1, divide both sides of the equation by a. Step 2 Rewrite the equation so that the constant term is alone on one side of the equality symbol. Step 3 Square half the coefficient of x, and add this square to each side of the equation. Step 4 Factor the resulting trinomial as a perfect square and combine like terms on the other side. Step 5 Use the square root property to complete the solution.

x2 – 4x – 14 = 0.

9x2 – 12x + 9 = 0

x2 – 4x = – 2

2x2 = x – 4.