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

Solution:

The given quadratic equation is 3 - 4x = -6x².

The standard quadratic equation is the form ax² + bx + c= 0.

Rewriting the given equation as 6x² - 4x + 3 = 0

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

Discriminant form of the quadratic equation helps determine the nature of the quadratic roots and it is given as:

D = b² - 4ac

Substitute the values of a, b and c in the formula, we get

D = (-4)² - 4 × 6 × 3

D = 16 - 72

D = -56

Therefore, the discriminant of the quadratic equation 3 - 4x = -6x² is - 56.

What is the discriminant of the quadratic equation 3 - 4x = -6x²?

Summary:

The discriminant of the quadratic equation 3 - 4x = -6x² is -56.