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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Solving Quadratic Equations by Using the Quadratic Formula

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Exercise 9 Page 137

Make sure you rewrite the equation leaving all the terms on one side, and that you factor out the greatest common factor if it exists.

- 5/3, 5/3

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.

9x^2 = 25

LHS-25=RHS-25

9x^2 - 25 = 0

Write as a power

3^2x^2 - 5^2 = 0

a^m* b^m=(a * b)^m

(3x)^2 - 5^2 = 0

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

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

Solving

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

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

Use the Zero Product Property

lc3x+5=0 & (I) 3x - 5=0 & (II)

(I): LHS-5=RHS-5

l3x=- 5 3x - 5=0

(II): LHS+5=RHS+5

l3x=- 5 3x = 5

(I): (II): .LHS /3.=.RHS /3.

lx_1=- 53 x_2= 53

Subchapter links

Exercises p.137-139