Question

(x-2)³ + (x-3)³ + (x-10)³ = (x-3) (x-2) (3x-30) find value of x​

Answer 1

Let (x-2)=a;(x-3)=b;(x-10)=c

Put in above given condition

a^3+b^3+c^3-3abc=0

This happens only when a+b+c=0

(x-2)+(x-3)+(x-10)=0

3x=15

x=5