Question

If the discriminant of the quadratic equation 3x² - 2x + c = 0 is 16, then the value of c is ______.

Options

• 1

• 0

• -1

• `sqrt2`

Answer 1

If the discriminant of the quadratic equation 3x² - 2x + c = 0 is 16, then the value of c is -1.

Explanation:

The quadratic equation 3x² - 2x + c = 0 has a discriminant of 16, we can set up the equation for the discriminant:

D = (-2)² - 4(3)c = 16

4 - 12c = 16

-12c = 12 

c = -1