Write the discriminant of the following quadratic equations:
$x^2 + 2x + 4 = 0$

Given:

Given quadratic equation is $x^2 + 2x + 4 = 0$.

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,

$a=1, b=2$ and $c=4$.

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

Therefore,

$D=(2)^2-4(1)(4)=4-16=-12$.

The discriminant of the given quadratic equation is $-12$.

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Updated on: 10-Oct-2022

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