Respuesta :

The answer would be: -56 

Answer:

[tex]D = -56 [/tex].

Step-by-step explanation:

Given : -6x² = 3 -4x.

To find : What is the discriminant of the quadratic equation .

Solution : We have given that  -6x² = 3 -4x.

Rewrite the equation :  -6x²+ 4x -3 = 0.

Standard form of quadratic form  : ax²+ bx + c = 0.

Discriminant = [tex]D = b^{2}-4ac[/tex].

Then, a = -6 , b =4 , c =-3

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

[tex]D = 16 - 72[/tex].

[tex]D = -56 [/tex].

Therefore, [tex]D = -56 [/tex].