Question

If x+ 1/x=17/4,Find the value of (x-1/x)​

Answer 1

Answer:

{x}=\frac{{1}}{{4}}={0.250}

{x}={4}

Answer 2

Step-by-step explanation:

x+ 1/x=17/4

on squareing both side

(x+ 1/x)²=(17/4)²

x²+1/x²+2•x•1/x= 289/16

x²+1/x²+2= 289/16

x²+ 1/x²=(289/16)-2

x²+ 1/x²=257/16

(x-1/x)²+2= 257/16

(x-1/x)²= 257/16-2

(x-1/x)²= 225/16

x-1/x= √225/16

x-1/x= 15/4

if x+1/x = a then x-1/x = √(a²-4)

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