Question

I = x + 1/x = 4 , then what is x ^ 4 + 1/(x ^ 4)

Answer 1

Answer:

194

Step-by-step explanation:

square the LHS AND RHS

$(x+1/x)^2=x^2+1/x^2+2(1/x)(x)=(4)^2$

we know 1/x and x will get cancel and 2 will remain

$x^2+1/x^2+2=16$

$x^2+1/x^2=14$

now square this again

$(x^2+1/x^2)^2=x^4+1/x^4 +2(1/x^2)(x^2)$

again 1/x^2 and x^2 will cancel

so final answer is 194

hint:  $(a+b)^2$

if there is any doubt ask in the comments

thanks and peace

Answer 2

Answer: 194

Step-by-step explanation:

square the LHS AND RHS

we know 1/x and x will get cancel and 2 will remain

now square this again

again 1/x^2 and x^2 will cancel

so final answer is 194