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