Question

Find the discriminant of the following equation:

`2x^2 - 5sqrt(2)x + 4 = 0`

Answer 1

Here, 

a = 2 

b = `-5sqrt2` 

c = 4 

Discriminant D is given by:

D = b² – 4ac

= `(-5sqrt(2))^2 - 4 xx 2 xx 4` 

= (25 × 2) – 32 

= 50 – 32 

= 18