2x^ 2 - 3x-5 = 0 have : - Vidyadip

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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