Made by CyanBeast01
Contains imaginary numbers!

a

b

c

minus b

delta Δ

two a

x1

x2

a

b

c

d

step 1: find Q

3ac - b²
Q = —————-
9a²

step 2: find R

9abc - 27a²d - 2b³
R = ———————————
54a³

step 3: find S and T

S = ∛(R + √(Q³ + R²))
T = ∛(R - √(Q³ + R²))

step 4: find x
b
x1 = S + T - ——
3a

x2 = -(S + T)/2 + (S - T)* i√3/2 - b/3a
x3 = -(S + T)/2 - (S - T)* i√3/2 - b/3a

step 3: find S and T

S = ∛(R + √(Q³ + R²))
T = ∛(R - √(Q³ + R²))

step 4: find x
b
x1 = S + T - ——
3a

x2 = -(S + T)/2 + (S - T)* i√3/2 - b/3a
x3 = -(S + T)/2 - (S - T)* i√3/2 - b/3a

Array

x2 and x3 time