Q1 of 227 Page 110

Determine the nature of the roots of the equation.


⇒


⇒ 9x2 – 60x + 15 = 0



⇒ a = 9, b = –60 and c = 15


= (–60)2– 4(9)(15)


3600 – 540


= 3060


∴ b2 – 4ac > 0. hence, roots are real.


More from this chapter

All 227 →
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

 1

Determine the nature of the roots of the equation.

(x – 2a) (x – 2b) = 4ab

 2

Find the values of k for which the roots are real and equal in each of the following equations

2x2 – 10x + k = 0