Q1 of 227 Page 110

Determine the nature of the roots of the equation.

2x2 – 3x + 4 = 0

2x2 – 3x + 4 = 0



⇒ a = 2, b = –3 and c = 4


= (–3)2– 4(2)(4)


9 – 32


= –23


∴ b2 – 4ac < 0. hence, roots are not real.


More from this chapter

All 227 →
10

Two trains leave a railway station at the same time. The first train travels due west and the second train due north. The first train travels 5 km/hr faster than the second train. If after two hours, they are 50 km apart, find the average speed of each train.

 1

Determine the nature of the roots of the equation.

x2 – 8x + 12 = 0

 1

Determine the nature of the roots of the equation.

9x2 + 12x + 4 = 0

 1

Determine the nature of the roots of the equation.

3x2 –2√6x + 2 = 0