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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

5. Solving Quadratic Equations by Using the Quadratic Formula

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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

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Exercises p.137-139