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Chapter 10: Q 90 (page 1181)

Solve the equation by completing square method.

2n2+4n-26=0

Short Answer

Expert verified

The solutions aren=-1卤14.

Step by step solution

01

Given Information.

The Given equation is 2n2+4n-26=0.

02

Factor out the greatest common factor and divide both sides to isolate the trinomial. 

The GCF is 2.

Divide both sides by 2.

12(2n2+4n-26)=0n2+2n-13=0

03

Isolate the binomial term.

n2+2n=13

Add role="math" localid="1648967730085" 12脳22to both sides.

n2+2n+1=13+1

n2+2n+1=14

04

Factor the perfect square trinomial as a binomial square.   

(n+1)2=14

Use the square root property.

n+1=卤14

n=-1卤14

Rewrite to show two solutions.

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

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