Question

If x+1/x=1, then value of x3 is

Answer 1

Step-by-step explanation:

x=1 therefore x3=1 is the answer

Answer 2

Answer:   x³=x⁶+3x³+1

Step-by-step:

we know that:

x+1/x=1       {taking LCM=x}

(x²+1)/x=1

x²+1=x -------->equation 1

cubing on both sides:

(x²+1)³=x³

(x²)³+1³+3x²(x²+1)=x³                 {(a+b)³=a³+b³+3ab(a+b)}

x⁶+1+3x²(x)=x³                   [from equation 1-->x² +1=x

x⁶+1+3x³=x³

therefore,x³=x⁶+3x³+1