-5d^=-23-10

Question

working with the Discriminant

Answer 1

To work with the discriminant, first rewrite your quadratic equation in standard form:

ax² + bx + c = 0

Then identify the values of a, b, and c.

The discriminant is:

D = b² - 4ac

The discriminant tells you how many real solutions the quadratic equation has:

1. If D > 0, there are two distinct real solutions.
2. If D = 0, there is exactly one distinct real solution (a repeated root).
3. If D < 0, there are no real solutions (but there are two nonreal complex solutions).

For example, suppose your equation is:

-5d² = -23d - 10

Move everything to the left:

-5d² + 23d + 10 = 0

Identify the coefficients:

a = -5, b = 23, c = 10

Calculate:

D = 23² - 4(-5)(10)

D = 529 + 200

D = 729

Since 729 is positive, this example has two distinct real solutions.

Please check the original equation, particularly the missing exponent and any missing variable after -23, because those details will change the answer.