Question

Find the two roots of equation, √3x² – 8x + 5√3 = 0.

1. 3, -5√3
2. √3, 5√3
3. √3, 5/√3
4. -√3, 5/√3

Answer 1

Correct Answer - Option 3 : √3, 5/√3

Given:

√3x² – 8x + 5√3 = 0  

Concept used:

By using factorization method (Middle term split)

Calculation:

√3x² – 8x + 5√3 = 0  

⇒ √3x² – 5x – 3x + 5√3 = 0

⇒ x(√3x – 5) – √3(√3x – 5) = 0

⇒ (√3x – 5)(x – √3) = 0

⇒ (√3x – 5) = 0 or (x – √3) = 0

⇒ x = 5/√3 or x = √3

∴ The two roots of equation is √3 and 5/√3.