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Discriminante di un'equazione quadratica Calculator

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1

Here, we show you a step-by-step solved example of discriminant d'une équation quadratique. 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

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

Apply the formula: $ab$$=ab$, where $ab=- 4\cdot 3\cdot -9$, $a=-1$ and $b=4$

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

Apply the formula: $ab$$=ab$, where $ab=-4\cdot 3\cdot -9$, $a=-4$ and $b=3$

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

Apply the formula: $ab$$=ab$, where $ab=-12\cdot -9$, $a=-12$ and $b=-9$

$6^2+108$
7

Apply the formula: $a^b$$=a^b$, where $a=6$, $b=2$ and $a^b=6^2$

$36+108$
8

Apply the formula: $a+b$$=a+b$, where $a=36$, $b=108$ and $a+b=36+108$

$144$
9

The discriminant of the polynomial results in

$144$

Final answer to the problem

$144$

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