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JEE Main202125 Jul 2021Evening ShiftMathematicsQuadratic EquationActual

The number of real solutions of the equation, x 2 - x - 12 = 0 is:

Options

  1. A2
  2. B3
  3. C1
  4. D4

Correct answer

A. 2

Step-by-step solution

We have, x 2 - x - 12 = 0 ⇒ x 2 - 4 x + 3 x - 12 = 0 ⇒ x + 3 x - 4 = 0 ⇒ x = 4 as x ≠ - 3 ⇒ x = ± 2 Hence, number of real solution is 2 .

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