If a, b and c are real and a^3 + b^3 + c ^ 3 = 3abc and a + b + c \neq 0, then the relation between a, b, c will be

Algebra and Applications Test 2

Question : 35 of 40

Marks: +1, -0

If a, b and c are real and

a^3 + b^3 + c ^ 3 = 3abc

and

a + b + c ≠ 0

, then the relation between a, b, c will be

Solution:

a^3 + b^3 + c^3 = 3abc

and a + b + c ≠ 0
From the above options, it is clear that a = 1, b = 1 and c = 1
then

(1)^3 + (1)^3 + (1)^3

= 3 × 1 × 1 × 1
3 = 3
and 1 + 1 + 1 ≠ 0
Hence, a = b = c

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