Question

Find the discriminant of the quadratic equation 2x² – 4x + 3 = 0.

Answer 1

Discriminant of standard quadratic equation 

ax² + bx + c = 0 is b² – 4ac 

Now comparing the given quadratic equation 2x² – 4x + 3 = 0 with standard form of quadratic equation. 

We get a = 2, b = -4, c = 3 then its discriminant = b² – 4ac 

= (-4)² – 4(2) (3)

= 16 – 24 = -8 

∴ Discriminant = -8.