Respuesta :

Answer:

-87

Let's find the discriminant.

6x2+3x+4=0

Step 1: Find discriminant with a=6, b=3, c=4.

b2−4ac

=(3)2−4(6)(4)

=−87

For this case we have a quadratic equation of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Where:

[tex]a = 6\\b = 3\\c = 4[/tex]

By definition, we have that the discriminant is given by:

[tex]D = b ^ 2-4 (a) (c)[/tex]

Substituting the values:

[tex]D = (3) ^ 2-4 (6) (4)\\D = 9-96\\D = -87[/tex]

Answer:

The discriminant of the given equation is:

[tex]D = -87[/tex]

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