Question

Find nature of the root of the quadratic equation 2x square minus root 5x + 1

Answer 1

Given the equation: 2xˆ2–5x+6=0

Comparing it with the general form of quadratic equation: axˆ2+bx+c=0

This gives us: a=2, b=-5 and c=6.

Now, discriminant D=bˆ2–4ac

Substituting the values we get,

D=(−5)ˆ2−4.2.6

=>D=25−48=−23

Since D < 0, hence the roots are not real.(i.e. it has complex roots)