Question

if a+1/a=17/4, find the value of (a-1/a)​

Answer 1

Answer:

9/13

Step-by-step explanation:

for solution see the Answer attached

Answer 2

Answer:

-9/4

Step-by-step explanation:

let's find the value of a first:

a+1/a=17/4

multiplying denominator on right side

a+1=17a/4

then

1 = 17a/4 - a

taking LCM and solving the fraction now

1= 17a-4a/4

1= 13a/4

13a = 1*4

13a = 4

a = 4/13

we got the value of a, using this we will find the value of a-1/a

a-1/a

putting the value of a

(4/13 - 1) /(4/13)

again taking LCM and solving numerator

(4-13/13)/(4/13)

cancelling 13 from 13

4-13/4

-9/4