If (5x + 1)³ + (x - 3)³ + 8(3x - 4)³ = 6(5x + 1)(x - 3)(3x - 4), then x is equal to ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 5/6.
(5x + 1)³ + (x - 3)³ + 8(3x - 4)³ = 6(5x + 1)(x - 3)(3x - 4)
of the form
a³ + b³ + c³ = 3abc
a + b + c = 0
5x + 1 + x - 3 + 6x - 8 = 0
12x - 10 = 0
x = 5/6