Question

if x4+1/x4=623,thenx+1/x​

Answer 1

Answer:

x+1/x = 3√3

Explanation:

It is given that,

x⁴+1/x⁴ = 623

=> (x²)² + (1/x²)²+2= 623+2

=> ( x²+1/x²)² = 625

=> (x²+1/x²)² = 25²

=> x²+1/x² = 25

Now ,

add both sides of the equation

by 2 , we get

=> x²+1/x² + 2 = 25+2

=> (x+1/x)² = 27

=> x+1/x = √27

= 3√3

Therefore,

x+1/x = 3√3

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