Question

What is the discriminant of the quadratic equation 3 – 4x = –6x2? –68 –56 76 88

Answer 1

-56.

Explanation:

3 – 4x = –6x^2

6x^2 - 4x + 3 = 0

The discriminant is simply b^2 - 4ac. In this case, a = 6, b = -4, and c = 3.

(-4)^2 - 4 * 6 * 3 = 16 - (24 * 3) = 16 - 72 = -56

Hope this helps!

Answer 2

The answer is option 2.

Explanation:

First, you have to make the equation into 0, by adding 6x² to both sides :

`3 - 4x = - 6 {x}^(2)`

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

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

Next, you have to apply Discriminant formula, D = b² - 4ac. Given that a quadratic equation is ax² + bx + c = 0, so for this equation a represents 6, b is -4 and c is 3 :

`D = {b}^(2) - 4ac`

`let \: a = 6 \\ let \: b = - 4 \\ let \: c = 3`

`D = {( - 4)}^(2) - 4(6)(3)`

`D = 16 - 72`

`D = - 56`