Question

1. Find the nature of the roots of the following quadratic equations. If the real roots
exist, find them:
(i) 2x² – 3x + 5 = 0 (ii) 3x? - 473 x + 4 = 0
(iii) 2x2 - 6x + 3 = 0​

Answer 1

Answer:

Ans 1(i): Here, a= 2, b= - 3, c= 5

Therefore,

b square - 4ac = (-3)^2 - 4(2)(5)

= 9-40=-31

Since, - 39<0

So, the roots are imaginary.

So, find the nature of roots of the other to equations this way and if roots are real find the roots by factorisation or some other method.