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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 62 Page 175

Make sure you rewrite the equation leaving all the terms on one side.

x=3/8 and x= - 5/6

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's start by writing all the terms on one side of the equals sign.

48x^2 -15 = - 22x

LHS+22x=RHS+22x

48x^2 + 22x -15 = 0

Write as a difference

48x^2 + 40x-18x -15 = 0

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Factor out 8x & - 3

Factor out 8x

8x(6x + 5x)-18x -15 = 0

Factor out - 3

8x(6x + 5x)-3(6x +5) = 0

Factor out (6x+5)

(8x-3)(6x+5)=0

Solving

To solve this equation, we will apply the Zero Product Property.

(8x-3)(6x+5)=0

Use the Zero Product Property

lc8x-3=0 & (I) 6x+5=0 & (II)

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(I): Solve for x

(I): LHS+3=RHS+3

l8x=3 6x+5=0

(I): .LHS /8.=.RHS /8.

lx= 38 6x+5=0

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(II): Solve for x

(II): LHS-5=RHS-5

lx= 38 6x=- 5

(II): .LHS /6.=.RHS /6.

lx= 38 x= - 56

MoveNegNumToFrac

(II): Put minus sign in front of fraction

lx_1= 38 x_2=- 56

Subchapter links

Exercises p.174-177