Question

if x + 1/x = 2, then what is x^4 - x^3

Answer 1

Answer:

0

Step-by-step explanation:

(x²+1)/x = 2

x²+1=2x

x²-2x+1=0

(x-1)²=0

Square rooting both sides,

x-1=0

x=1

On putting the value of x, we get,

x⁴-x³ = 1⁴-1³ = 1-1 = 0