Olgt solving quadratic equations
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OLGT: Solving Quadratic Equations. Do Now Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction. -5(x+3 ) - 4x-5=-(9x-4 ) -6(2x+1)-3(x-4)=-15+1. Using the Zero-Factor Property. A quadratic equation written in standard form is

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OLGT: Solving Quadratic Equations

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Olgt solving quadratic equations

OLGT: Solving Quadratic Equations

Do Now

Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction.

-5(x+3) - 4x-5=-(9x-4)

-6(2x+1)-3(x-4)=-15+1


Using the zero factor property

Using the Zero-Factor Property

  • A quadratic equation written in standard form is

  • Ax2+bx+c = 0, where a, b, c are real numbers and a can not equal zero.

  • You can solve them by using one of the three methods

    • Zero-factor Property

    • Square Root Property

    • Quadratic Formula


Zero factor property

Zero-Factor Property

  • Solve 6x2+7x=3

  • First put in standard form

  • 6x2+7x-3=0

  • Then factor

  • (3x-1)(2x-3)=0


Zero factor property1

Zero-Factor Property

  • Apply the zero-factor property

  • 3x-1=0 or 2x+3=0

  • 3x=12x=-3

  • X=1/3x=-3/2

  • Check

  • 6(1/3)2+7(1/3)=3 and

  • 6(-3/2)2+7(-3/2)=3


Using the square root property

Using the Square Root Property

  • Solve the quadratic equations

    1. x2=172. (x-4)2=12

    X=x-4 =

    x=4 x=x=4


Solve by the zero property

Solve by the zero-property

  • -6x2+7x = -10

  • -6x2+7x + 10 = 0

  • -1(6x2-7x - 10)=0

  • -1(6x+5)(x-2) =0

  • 6x-5=0 or x-2 =0

  • 6x=5

  • X=5/6 or x=2


Square root property

Square Root Property

  • (x-7)2=24

  • X-7 =

  • X =7

  • X=7

  • 7


Try these

Try these

  • 1

  • (x+4) (x-2) = 0

  • X = -4 or x = 2

  • ( 2x + 5) (x-3) = 0

  • 2x+5 = 0 x-3=0

  • X= -5/2x= 3

  • x2+ 2x -8 = 0

  • 2x2- x -15 = 0


Olgt solving quadratic equations

1. X2 = 25

  • X =

  • X = 5

  • 2. ( 3x-1) 2 =12

  • 3x – 1 =

  • 3x = 1

  • x = 1

  • 3


Homework

Homework

  • Page 441 # 33-44


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