Cubic equation calculator.

For example ,Enter a=1, b=8, c=16 and d=10.
ax3 + bx2 + cx + d = 0
x³ + x² + x+ d = 0
Results:
X1= +   i
X2= +   i
X3= +   i

Ang kubiko equation ay may form palakol 3 + bx 2 + cx + d = 0. Dapat itong magkaroon ng termino sa x 3 o gagawin hindi maging kubiko ngunit anumang o lahat ng b, c at d ay maaaring maging zero.

Cubic Equation Calculator Formula.

x 1 = (- term1 + r 13 * cos (q 3 / 3)

x 2 = (- term1 + r 13 * cos (q 3 + (2 * π) / 3))

x 3 = (- term1 + r 13 * cos (q 3 + (4 * π) / 3))

Kung saan: discriminant (δ) = q 3 + r 2

q = (3c- b 2 ) / 9

r = -27d + b (9c-2b 2 )

s = r + √ (discriminant)

t = r - √ (discriminant)

term1 = √ (3.0) * ((- t + s) / 2)

r 13 = 2 * √ (q)

Ipasok ang mga halaga para sa A, B, C at D makuha ang resulta x.

Halimbawa: A = 1, b = 8, c = 16 at d = 10,

x 1 = -5.365230013414097

x 2 = -1.3173849932929516 + 0.3582593599240431 i

x 3 = -1.3173849932929516 - 0.3582593599240431 i

Cubic equation calculator.