Question

What is the discriminant of the quadratic equation 3 - 4x = -6x^2

-68
-56
76
88

Answer 1

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

Answer 2

Answer: B) -56

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

`b^(2) -4ac`

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

`6x^(2) -4x+3=0`

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

so the discriminant would be:

`(-4)^(2) -4*6*3`=

16-72=-56