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Chapter 7: Q. 7.154 (page 887)

Solve:

(k+1)(k-1)=8

Short Answer

Expert verified

The solutions of the quadratic equations (k+1)(k-1)=8are k=-3,3

Step by step solution

01

Step 1. Given Information.

An equation:

(k+1)(k-1)=8

02

Step 2. Write the quadratic equation in the standard form.

(k+1)(k-1)=8k2-1=8k2-9=0

03

Step 3. Factor the quadratic expression.

k2-9=0(k+3)(k-3)=0

04

Step 4. Use the Zero-Product property.

Use the Zero Product Property and set each factor to zero.

k+3=0k=-3k-3=0k=3

The value of k is k=-3,3

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