What is the value of the discriminant for the quadratic equation -3 = -x² + 2x?

Solution:

Given, -3 = -x² + 2x

We have to find the value of the discriminant for the quadratic equation.

Discriminant, D = b² - 4ac

The quadratic equation can be rewritten as

-3 + x² - 2x = 0

x² - 2x - 3 = 0

Here, a = 1, b = -2 and c = -3.

D = (-2)² - 4(1)(-3)

= 4 - 4(-3)

= 4 + 12

= 16

Therefore, the value of the discriminant is 16.

What is the value of the discriminant for the quadratic equation -3 = -x² + 2x?

Summary:

The value of the discriminant for the quadratic equation -3 = -x² + 2x is 16.