The roots of the equation x2/3 + x1/3 - 2 = 0 are .....(A) 1, -8(B) 1 – InterviewSolution

InterviewSolution

1.

The roots of the equation x2/3 + x1/3 - 2 = 0 are .....(A) 1, -8(B) 1, -2(C) 2/3, 1/3(D) -2, -8

Answer»

The correct option is: (A) 1, -8

Explanation:

Given equation is x^2/3 + x^1/3 - 2 = 0

Let y = x^1/3 => y² + y - 2 = 0

=> y² + 2y - y - 2 = 0 => (y - 1)(y + 2) = 0

=> y = 1 1 or y = - 2 => x^1/3 = 1 or x^1/3 = -2

=> x = 1 or x = -8

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