If $(x - 1.5)^3 + ( x - 4)^3 + (x - 3.5)^3 = 3 ( x - 1.5)(x - 4)( x - 3.5)$, then what is the value of x ?
Answer & explanation
Correct answer: option 2
Given,
(x - 1.5)3 + (x - 4)3 + (x - 3.5)3 = 3 (x - 1.5) (x - 4) (x - 3.5)
We know that,
If a3 + b3 + c3 = 3abc then,
(a +b + c) = 0
(x - 1.5) + (x - 4) + (x - 3.5) = 0
= 3x - 9 = 0
= 3x = 9
= x = 3