Question

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

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

Answer 1

• discriminant: 11
• solutions: -6, +5

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}