/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 6.94 Solve, (k+1)(k-1)=8... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.