Write the discriminant of the following quadratic equations:
$\sqrt3 x^2 + 2\sqrt2 x - 2\sqrt3 = 0$

Given:

Given quadratic equation is $\sqrt3 x^2 + 2\sqrt2 x - 2\sqrt3 = 0$.

To do:

We have to find the discriminant of the given quadratic equation.

Solution:

Comparing the given quadratic equation with the standard form of the quadratic equation $ax^2+bx+c=0$, we get,

$a=\sqrt3, b=2\sqrt2$ and $c=-2\sqrt3$.

The discriminant of the standard form of the quadratic equation $ax^2+bx+c=0$ is $D=b^2-4ac$.

Therefore,

$D=(2\sqrt2)^2-4(\sqrt3)(-2\sqrt3)=4(2)+8(3)=8+24=32$.

The discriminant of the given quadratic equation is $32$.

Tutorialspoint

Updated on: 10-Oct-2022

25 Views

Kickstart Your Career

Get certified by completing the course

Get Started