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Quadratics

Quadratics. Solving equations Using “Completing the Square”. Completing the square…. ax ² + bx + c = 0. Into the form p(x + r) ² + s. Completing the square. x ² + 8x + 10 = 0. x ² + 6x + 24 = 0. (x + 3) ². (x + 4) ². x ² + 6x + 9. x ² + 8x + 16. (x + 4) ² - 6 = 0.

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Quadratics

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  1. Quadratics Solving equations Using “Completing the Square”

  2. Completing the square… ax² + bx + c = 0 Into the form p(x + r)² + s

  3. Completing the square x² + 8x + 10 = 0 x² + 6x + 24 = 0 (x + 3)² (x + 4)² x² + 6x + 9 x² + 8x + 16 (x + 4)² - 6 = 0 (x + 3)² + 15 = 0

  4. Completing the Square ax² + bx + c = 0 Into the form p(x + r)² + s 2x² + 4x + 15 2(x + 1)² + 13 2(x² + 2x) Complete the square: 2(x + 1)² 2(x² + 2x + 1) = 2x² + 4x + 2

  5. Completing the Square • 4x² + 16x – 2 = 0 4(x + 2)² - 18 = 0 4(x² + 4x) Complete the square: 4 (x + 2)² 4 (x + 2)² = 4( x² + 4x + 4) = 4x² + 16x + 16

  6. Completing the Square

  7. Questions • Complete the square for the expressions • x² + 4x • 2. x² - 14x • 3. x² - 6x • x² - 16x • x² + x • (x + 2)² - 2² • 2. (x – 7)² - 7² • 3. (x – 3)² - 3² • (x – 8)² - 8² • (x – ½)² - ½ ²

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