If x3 + 27y3 + 64z3 = 36xyz then the relationship...

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If x³ + 27y³ + 64z³ = 36xyz, then the relationship between x, y and z is:

A. x + y + z = 0

B. x - 3y + 4z = 0

C. x + 3y = 4z

D. x + 3y + 4z = 0

Answer: Option D

x³ + 27y³ + 64z³ = 36xyz ......(i)
since ⇒ a + b + c = 0
If a³ + b³ + c³ = 3abc
similarly from equation (i)
x + 3y + 4z = 0

This Question Belongs to Arithmetic Ability >> Algebra

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