The discriminant of the equation x2 + x - 30 = 0 is?

The solution (s) of the equation x + x-30 = 0 is/are?

discriminant: 11 solutions: - 6, + 5

Step-by-step explanation:

Comparing your equation to the standard form, we can find the values necessary to compute the discriminant:

x^2 + x - 30 = 0

ax^2 + bx + c = 0

So, we have ... a = 1, b = 1, c = - 30

The discriminant is defined as ...

d = √ (b² - 4ac) = √ (1² - 4 (1) (-30)) = √121

d = 11

The solutions are ...

x = (-b ± d) / (2a) = (-1 ±11) / 2

x = {-6, + 5}