Math, asked by sonal56, 1 year ago

if a+ 1/a= 17/4 find the value of a-1/a

Answers

Answered by YASHIKAJINDAL
8
a+1/a=17/4
a^2+1÷a=17/4
4(a^2+1)=17a
4a^2+4=17a
4a^2-17a+4=0
4a^2-16a-a+4=0
4a(a-4)-1(a-4)
(4a-1)(a-4)
a=4,1/4
a-1/a=4-1/4
16-1÷4=15/4
OR
a-1/a=1/4-4
1-16÷4=-15/4

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