Question

if {x+1\x} = 5 then the value of {x²+1\x²}​​

Answer 1

Answer:

23

Step-by-step explanation:

Given, {x+1\x} = 5,

So, {x+1\x}²= (5)²

= {x+1\x}² = x² + 1/x² + 2*x*1/x

= (5)² = x² + 1/x² + 2

= 25 = x² + 1/x² + 2

= x² + 1/x² = 25-2

= 23 Ans.

Answer 2

x+(1/x)=5 ----1

squaring both sides of 1

(x+1/x)²=5²

x²+1/x²+2=25

x²+1/x²=25-2

x²+1/x²=23

Hope it helps

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