n²+6n-(a²+2a-8)=0 who ever answers this question perfectly I will mark them as the brainly
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Answered by
1
Step-by-step explanation:
Given quadratic equation:n²+6n-(a²+2a-8)=0
=> n^2+6n-(a²+4a-2a-8)=0
=> n²+6n-[a(a+4)-2(a+4)]=0
=> n²+6n-(a+4)(a-2)=0
Splitting the middle term,we get
=>n²+(a+4)x-(a-2)n-(a+4)(a-2)=0
=> n[n+(a+4)]-(a-2)[n+(a+4)]=0
=> [n+(a+4)][n-(a-2)]=0
=> n+(a+4)=0 Or n-(a-2)=0
=> n = -(a+4) Or n= (a-2)
Therefore,n= -(a+4) Or n= (a-2)
hope it helps you
please mark as brainliest
Answered by
0
Answer:
n=a-2, -(a+4)
Step-by-step explanation:
n^2+6n-(a^2+4a-2a-8)=0
n^2+6n-((a+4)(a-2))
n^2+(a+4)n-(a-2)n-(a+4)(a-2)=0
n(n+(a+4))-(a-2)(n+(a+4))=0
(n-(a-2))((n+(a+4))=0
n=a-2, -(a+4)
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