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Examveda

If (5x + 1)3 + (x - 3)3 + 8(3x - 4)3 = 6(5x + 1)(x - 3)(3x - 4), then x is equal to:

A. $$\frac{5}{6}$$

B. $$\frac{1}{3}$$

C. $$\frac{2}{3}$$

D. $$\frac{3}{4}$$

Answer: Option A

Solution(By Examveda Team)

a3 + b3 + c3 = 3abc
If a + b + c = 0
(5x + 1) + (x - 3) + (6x - 8) = 0
12x - 10 = 0
12x = 10
x = $$\frac{5}{6}$$

This Question Belongs to Arithmetic Ability >> Algebra

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