Presentation on theme: "5-5: Quadratic Equations"— Presentation transcript:
1 5-5: Quadratic Equations Essential Question:How is factoring used to solve quadratic equations?
2 5-5: Quadratic Equations The standard form of a quadratic equation is:ax2 + bx + c = 0We can solve some quadratic equations by factoringWe’ll solve non-factorable equations after we come back from breakWe solve a factored quadratic equation because of the Zero-Product PropertyIf ab = 0, then a = 0 or b = 0Example: If (x + 3)(x – 7) = 0, then x = -3 or x = 7Take each parenthesis, set it equal to 0 and solve for x
3 5-5: Quadratic Equations Solve by factoring2x2 – 11x = -15Get everything equal to 0 (add 15 to both sides)2x2 – 11x + 15 = 0Last step: Set each parenthesis = 0 and solve (next slide)+2 numbers to:multiply = 30add = -11-5 & -62x2 x x + 15-5-6x(2x - 5)-3(2x - 5)(x - 3)(2x - 5)
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