Question

Find the discriminant of quadratic equation 3 x²- 5 x + 2 = 0 and hence, find the nature of the roots * -1 , no real roots 1 , two equal roots -1, two distinct real roots 1, two distinct real roots

Answer 1

Answer:

D=bsquare -4ac

D=25-4*1*2

=25-8

=17>0

so real roots

Answer 2

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.