Q478
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
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
x3 + 27y3 + 64z3 = 36xyz ......(i)since ⇒ a + b + c = 0
If a3 + b3 + c3 = 3abc
similarly from equation (i)
x + 3y + 4z = 0