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Roots of the equation 2x2 - √5x - 2 = 0 are

  1. Real and positive
  2. Imaginary and conjugate
  3. Real and negative
  4. One positive real and one negative real

Answer (Detailed Solution Below)

Option 4 : One positive real and one negative real
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Detailed Solution

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Concept:

The roots of a quadratic equation ax2 + bx + c = 0 is given by:

Calculation:

Given quadratic equation:

a = 2, b =  and c = -2

∴ 

∴ The roots of the equation are real and one positive and other negative

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