Question

If a=1/a-5 Find 1number,a-1/a,2number,a+1/a,3number,a²-1/a²
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Answer 1

Step-by-step explanation:

Given that

1. a=(1/a)-5

=> a-1/a=-5

2. (a-1/a)²=(-5)²

=> a²+(1/a)²-2a(1/a)=25

=> a²+(1/a)²-2=25

=> a²+(1/a)²+2=29

=> (a+1/a)²=29

=> a+1/a=√29

3. a²-1/a²=(a+1/a)(a-1/a)

=-5×√29=-5√29.

hope you got it.