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Chapter 6: Q 6.94 (page 618)

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

Short Answer

Expert verified

The value isk=±3

Step by step solution

01

Given information

Given the equation,(k+1)(k-1)=8

02

Multiply the binomials 

Multiplying the binomials, we get

(k+1)(k-1)=8k2-1=8k2=9k=±3

03

Checking the value

Substituting and checking, we get

(k+1)(k-1)=8(3+1)(3-1)=84×2=88=8(-3+1)(-3-1)=8-2×-4=-88=8

So the value is correct

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