Respuesta :

The discriminant is -56.

The discriminant is found using

b²-4ac, after the quadratic is in standard form.  First, we will add 6x² to both sides to write it in standard form:
3-4x=-6x²
3-4x+6x²=-6x²+6x²
6x²-4x+3=0

We can now see that b=-4, a=6 and c=3:

(-4)²-4(6)(3)
16-72
-56
sortingsteering

Answer: B) -56

Step-by-step explanation:  In a quadratic equation, the discriminant helps tell you the number of real solutions and it is:

[tex]b^{2} -4ac[/tex]

To calculate the discriminant of the given equation, we need to write it in the standard form (we equal it to zero):

[tex]6x^{2} -4x+3=0[/tex]

here we can see that a=6;  b=-4; and c=3

so the discriminant would be:

[tex](-4)^{2} -4*6*3[/tex]=

16-72=-56

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