MCQ
$\sqrt{2}\text{x}^{2} - \text{3x}-5 = 0$ have :
  • A
    Real and Equal roots
  • B
    Real roots
  • Real and Distinct roots
  • D
    No Real roots

Answer

Correct option: C.
Real and Distinct roots
$\text{D} = (-3)^{2} - 4\times\sqrt{2}\times(-5)$
$\text{D} = 9+20\sqrt{2}$
$\text{D}>0.$
Real and distinct roots.

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