5.5 Completing the Square.

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Presentation transcript:

5.5 Completing the Square

Using the Square Root Property Factor the left side of the equation as perfect squares Take the square root of each side Set one factor equal to the positive square root and the other factor equal to the negative square root Solve for the variable

Examples- Solve using the square root property x2 + 20x + 100 = 64 36x2 – 48x + 16 = 12

Steps to complete square: ax2 + bx + c = 0 Rewrite the equation so it is: ax2 + bx = c 𝑏 2 = ____2 = # Rewrite in the following set-up ax2 + bx + # = c + # Fill in boxes from second step with # Factor left side of equation as perfect square and simplify right side Solve for the variable

Examples Find the value of c that makes each trinomial a perfect square x2 – 10x + c x2 - 3x + c

Examples Solve by completing y2 – 4y – 5 = 0 the square 2x2 – 13x – 7 = 0