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Chapter 9: Q. 101 E (page 885)

In the following exercises, solve by completing the square.

2n2+4n=26

Short Answer

Expert verified

The solution isn=-1-14,n=-1+14.

Step by step solution

01

Step 1. Given information 

Equation:2n2+4n=26

02

Step 2. Calculation   

We have,

2n2+4n=26

2n2+2n=213

2n2+2n2=2132

n2+2n=13

role="math" localid="1645175362355" n2+2n+12路22=13+12路22

n2+2n+12=13+12

n+12=14

n+12=14

n+1=卤14

n+1-1=-1-14,n+1-1=-1+14

n=-1-14,n=-1+14

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