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Calculus

Cubic Equations, Roots

jee_adv_2026_mock_p2

Grade 12

Question:

The number of real roots of the equation f(x) = 0 is:

A. 0

B. 1

C. 2

D. 3

Step-by-Step Solution

Key Concept: f(x) = (x-1)^3, so the only root is x = 1.

Step 1: f(x) = (x-1)^3 = 0 => x = 1. Step 2: Thus exactly one real root.

Correct Answer: B

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