Question

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

Answer 1

First from the given equation, a + 1/a =17/4

Squaring both sides,

a² + 1/a² + 2 = 289/16

=> a² + 1/a² -2 = 225/16

=>(a - 1/a)² = 289/16

Finding square root on both the sides

a - 1/a = 15/4

From the above equations we get

a = 4


Hope Its Helpful....