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# Discriminant of Quadratic Equation Calculator

## Get detailed solutions to your math problems with our Discriminant of Quadratic Equation step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of discriminant of quadratic equation. This solution was automatically generated by our smart calculator:

$3x^2+6x-9=0$
2

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

$D=b^2-4ac$
3

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

$D=6^2-1\cdot 4\cdot 3\cdot -9$
4

Multiply $-1$ times $4$

$6^2-4\cdot 3\cdot -9$
5

Multiply $-4$ times $3$

$6^2-12\cdot -9$
6

Multiply $-12$ times $-9$

$6^2+108$
7

Calculate the power $6^2$

$36+108$
8

Add the values $36$ and $108$

$144$
9

The discriminant of the polynomial results in

$144$

##  Final answer to the problem

$144$

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