Question

For the quadratic equation (x² + 2x - 3 = 0), what is the value of the discriminant ((b² - 4ac))?

A. 16
B. 20
C. 24
D. 28

Answer 1

The value of the discriminant for the quadratic equation (x² + 2x - 3 = 0) is 16.

Step-by-step explanation:

The discriminant of a quadratic equation is given by the formula (b² - 4ac), where a, b, and c are the coefficients of the equation. In this case, the equation is x² + 2x - 3 = 0, so a = 1, b = 2, and c = -3. Substituting these values into the formula, we have:

Discriminant = (2²) - 4(1)(-3)

Simplifying, we get:

Discriminant = 4 + 12

Discriminant = 16

Therefore, the value of the discriminant is 16.