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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 41 Page 174

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

x=- 2 and x=2

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.

x^2+13=17

LHS-17=RHS-17

x^2-4=0

Write as a power

x^2-2^2=0

a^2-b^2=(a+b)(a-b)

(x+2)(x-2)=0

Solving

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

(x+2)(x-2)=0

Use the Zero Product Property

lcx+2=0 & (I) x-2=0 & (II)

(I): LHS-2=RHS-2

lx=- 2 x-2=0

(II): LHS+2=RHS+2

lx_1=- 2 x_2=2

Subchapter links

Exercises p.174-177