Here, we show you a step-by-step solved example of discriminant of quadratic equation. This solution was automatically generated by our smart calculator:
The discriminant (D) of a quadratic polynomial of the form $ax^2+bx+c$ is calculated using the following formula, where $a$, $b$ and $c$ are the coefficients of the corresponding terms
From the equation, we see that $a=3$, $b=6$ and $c=-9$. Replacing the values of $a$, $b$ and $c$ in the previous formula, we obtain
Multiply $-1$ times $4$
Multiply $-4$ times $3$
Multiply $-12$ times $-9$
Calculate the power $6^2$
Add the values $36$ and $108$
The discriminant of the polynomial results in
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