Determine the nature of the roots of the equation.3x2 –2√6x + 2 = 0

3x2 – 2√6 x + 2 =⇒ a = 3, b = –2√6 and c = 2 = (–2√6 )2– 4(3)(2) 24 – 24= 0∴ b2 – 4ac = 0. hence, roots are real and equal.

Q1 of 227 Page 110

Determine the nature of the roots of the equation.
3x² –2√6x + 2 = 0

3x² – 2√6 x + 2 =

⇒ a = 3, b = –2√6 and c = 2

= (–2√6 )²– 4(3)(2)

24 – 24

= 0

∴ b² – 4ac = 0. hence, roots are real and equal.

Determine the nature of the roots of the equation.

2x² – 3x + 4 = 0

Determine the nature of the roots of the equation.

9x² + 12x + 4 = 0

Determine the nature of the roots of the equation.

(x – 2a) (x – 2b) = 4ab