Answer:
- 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}
