(Q6)Find the nature of the roots of the following quadratic equations. If real roots exist, find them.
(i) 2x2 - 3x + 5 = 0

Answer

Given 2x2 - 3x + 5 = 0

a = 2; b = -3; c = 5

Discriminant = b2 - 4ac

b2 - 4ac = (-)2 - 4()()

= -

= - < 0

∴ Roots are imaginary.