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How do you solve a quadratic equation?

How do you solve a quadratic equation?. x 2 +8x =-7. In this lesson you will learn how to solve a quadratic equation by factoring. Zero Product Property. 4 * 0 = 0. -6 * 0 = 0. * 0 = 0. Factors. (2x)(4x) =8x 2. (2)(3) =6. (5y 2 )(2y) =10y 3.

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How do you solve a quadratic equation?

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  1. How do you solve a quadratic equation? x2+8x=-7

  2. In this lesson you will learn how to solve a quadratic equation by factoring.

  3. Zero Product Property 4 * 0 = 0 -6 * 0 = 0 * 0 = 0

  4. Factors (2x)(4x) =8x2 (2)(3) =6 (5y2)(2y) =10y3

  5. Identify all of the factors to a quadratic expression. 3 (x+2) = 0 3x (x-3) = 0 (x-4)

  6. Forgetting to set the equation equal to zero. x2 + 11x + 30 = 0 x2 + 11x + 30 = 10 (x+5)(x+6)= 0 (x+5)(x+6)= 10

  7. Check: 2x2 =-4x 2x2+4x=-4x+4x 2(0)2 =-4(0) 2x2+4x=0 2(-2)2 =-4(-2) 2x(x+2)=0 2x=0 x+2=0 x=0,x=-2

  8. Check: 3x2+6x-105=0 3(5)2 +6(5)-105=0 3(x2+2x-35)=0 75+30-105=0 3(x+7)(x-5)=0 3(-7 )2+6(-7 )-105=0 x+7=0 x-5=0 147-42-105=0 3=0 x=-7 x=5

  9. In this lesson you have learned to solve a quadratic equation by factoring.

  10. Solve the following equation for x. x2+8x-9=0

  11. Can you use this idea to solve equations involving higher degree polynomials?

  12. Solve the following equation for x by factoring. 2x2+10x+12=0 Solve the following equation for x by factoring. x2+11x=-30

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