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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 53 Page 175

Use the Zero Product Property.

x=- 6 and x=6

Practice makes perfect

To solve the given equation, let's factor and solve using the Zero Product Property.

Factoring

Since it appears that the expression has a GCF, let's factor that out. After that, we will proceed to factoring.

4x^2-144=0

Factor out 4

4(x^2-36)=0

Write as a power

4(x^2-6^2)=0

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

4(x+6)(x-6)=0

Solving

Now we can apply the Zero Product Property to solve.

4(x+6)(x-6)=0

Use the Zero Product Property

lc4(x+6)=0 & (I) x-6=0 & (II)

(I): .LHS /4.=.RHS /4.

lx+6=0 x-6=0

(I): LHS-6=RHS-6

lx=- 6 x-6=0

(II): LHS+9=RHS+9

lx_1=- 6 x_2=6

The solutions for our equation are - 6 and 6.

Subchapter links

Exercises p.174-177