Question

If x+1/x = underroot 3. Find the value of x3+1/x3

Answer 1

Answer:

x²+1/x³=0

Step-by-step explanation:

x+1/x=√3

cubing on both sides,

(x+1/3)1=(√3)x²+1/x³+3×x×1/x×(x+1/x)

=3√3x³+1×x³+3(√3)

=3√3x³+1/x³

=3√3-3√3x³+1/x³

=0.