Question

I kinda need this in a urgency so please help​

Answer 1

Step-by-step explanation:

4-x=1/x

x+1/x=4

x³+1/x³=(x+1/x)³-3(x+1/x)

=(4)³-3.4

=64-12=52

Answer 2

Answer:

52

Step-by-step explanation:

$4-x=\frac{1}{x}\\\\\\x(4-x)=1\\\\\\4x-x^2=1\\\\\\Re-arrange\\\\\\x^2+1=4x\\\\\\Divide~the~equation~by~'x'\\\\\\ x+\frac{1}{x}=4$

Now,

Cube on both sides

$(x+\frac{1}{x})^3=(4)^3\\\\\\x^3+\frac{1}{x^3}+3*x*\frac{1}{x}(x+\frac{1}{x}) = 64\\\\\\x^3+\frac{1}{x^3}+3(4)=64\\\\\\x^3+\frac{1}{x^3}+12=64\\\\\\x^3+\frac{1}{x^3}=64-12\\\\\\x^3+\frac{1}{x^3}=52~~[required~answer]$