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
Solution (By Examveda Team)
x3 + 27y3 + 64z3 = 36xyz ......(i)since ⇒ a + b + c = 0
If a3 + b3 + c3 = 3abc
similarly from equation (i)
x + 3y + 4z = 0
Related Questions on Algebra
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$

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