Question

Determine the nature of the roots for the quadratic equation
\sqrt{3x {}^{2} } + \sqrt{2x} - 2 \sqrt{3} = 03x2​+2x​−23​=0
​

Answer 1

Given:-

• √3x² + 2x - 2 √3 = 0

To Find :-

• Nature of roots

Solution:-

• According to the quardic formula☆

✡ D = b² - 4a C ✡

• a = √3
• b = √2
• c = -2 √ 3

➺ D = (√2)² - 4 × √3 × ( - 2 √3 )

➺D = 2 + 4 × 2× 3

➺D = 2 + 24

➺D = 26