Question

Find the value of discriminant of each of the following equation
$\sqrt{3}$ x² + 2$\sqrt{2}$ x – 2$\sqrt{3}$ = 0

Answer 1

Given: $\sqrt{3}$ x² + 2$\sqrt{2}$ x – 2$\sqrt{3}$ = 0
On comparing this equation with ax² + bx + c = 0, we get:
a =$\sqrt{3}$ , b = 2$\sqrt{2}$ and c = –2$\sqrt{3}$
We know that the discriminant of a quadratic equation is Δ = b² – 4ac.
Δ = (2$\sqrt{2}$ )² – 4($\sqrt{3}$ )(–2$\sqrt{3}$ )
=> Δ = 8 + 24 = 32