OLGT: Solving Quadratic Equations Do Now Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction. 1.5(x+3) +

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Presentation transcript:

OLGT: Solving Quadratic Equations Do Now Solve each equation. Decide whether each equation is an identity, a conditional or a contradiction. 1.5(x+3) + 4x-5=-(2x-4) 2.-6(2x+1)-3(x-4)=-15+1

Using the Zero-Factor Property A quadratic equation written in standard form is Ax 2 +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 Solve 6x 2 +7x=3 First put in standard form 6x 2 +7x-3=0 Then factor (3x-1)(2x-3)=0

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

Solve by the zero-property -6x 2 +7x =10 -6x 2 +7x -10 = 0 -1(6x 2 -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

Homework Page 441 # 33-44