Question

If a+ 1/a =17/4, then find the value of [a-1/a] .. Plz answer fast

Answer 1

Answer:

15/4

Step-by-step explanation:

a+1/a=17/4

4(a2 + 1) = 17a

4a2 + 4 =17a

4a2 -17a +4 = 0

Therefore,

(4a+1)(a-4)= 0

therefore,

a= -1/4,4

if a = -1/4 then

-1/4 - (-4/1)

=-1/4 +16/4

=15/4

if a =4 then

4-1/4

= 16-1/4

=15/4

therefore answer is 15/4