body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Solving Quadratic Equations by Using the Quadratic Formula

Continue to next subchapter

Exercise 7 Page 137

Rewrite 11x as a difference.

- 6, 1/2

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's start by rewriting 11x as a difference of two terms.

2x^2 + 11x - 6 = 0

Write as a difference

2x^2 + 12x - x - 6 = 0

▼

Factor out 2x & - 1

Factor out 2x

2x(x + 6) - x - 6 = 0

Factor out - 1

2x(x + 6) - 1(x + 6) = 0

Factor out (x+ 6)

(x + 6)(2x - 1) = 0

Solving

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

(x + 6)(2x - 1) = 0

Use the Zero Product Property

lcx + 6=0 & (I) 2x - 1=0 & (II)

(I): LHS-6=RHS-6

lx=- 6 2x - 1=0

(II): LHS+1=RHS+1

lx=- 6 2x = 1

(II): .LHS /2.=.RHS /2.

lx_1=- 6 x_2= 12

Subchapter links

Exercises p.137-139