Question

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

Answer 1

a + 1/a = 17/4

=> a² + 1 = 17a/4
=> 4a² +4 = 17a
=> 4a² - 17a + 4 = 0
=> 4a² -16a - a + 4 = 0
=> 4a(a-4) - (a-4) = 0
=> (4a-1)(a-4) = 0
___________________
so, a=4 or a=1/4


so
a-1/a

at a=4
=> 4 - 1/4 = 15/4

at a= 1/4
=> 1/4 - 4 = -15/4



hope it helps you
@di

Answer 2

The answer is -3,3/4
Please mark me as brainliest