Question

Find the discriminant for the following quadratic equations. Also, determine the nature of the roots.

(i) 5x²–6x–2=0
(ii) x²-3√3x+12=0​

Answer 1

Step-by-step explanation:

(i)D=b²-4ac

=(-6)²-4(5)(-2)

=36-4(-10)

=36+40

=76

Here b²-4ac > 0 hence real roots

(ii)D=b²-4ac

=(-3√3)²-4(1)(12)

=27-4(12)

=27-48

=(-21)

Here b²-4ac < 0 hence non real roots