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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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