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Quartic Equation Calculator

A quartic equation has the form ax4 + bx3 + cx2 + dx + e = 0. A general quartic equation (also called a biquadratic equation) is a fourth-order polynomial equation of the form. Free online quartic equation calculation, used to find the roots of the quartic equation using this calculator.

Related Articles:
>> What is Quartic Equation.(A simple tutorial).
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Quartic Equation Calculator
To Calculate the roots:

For example, Enter a=3, b=6, c=-123, d=-126 and e=1080

ax4 + bx3 + cx2 + dx + e = 0
x4 + x³ + x² + x + e



Results:
x1: +   i
x2: +   i
x3: +   i
x4: +   i

Quartic Equation Formula:
Quartic Equation : ax4 + bx3 + cx2 + dx + e = 0
NOTE : Let p and q be the square root of any 2 non-zero roots.
p = sqrt(y1)
q = sqrt(y3)
r = -g / (8pq)
s = b / (4a)
  x1 = p + q + r - s
  x2 = p - q - r - s
  x3 = -p + q - r - s
  x4 = -p - q + r - s

Cubic Equation Formula:
discriminant(Δ) = q3 + r2
q = (3c- b2)/9
r = -27d + b(9c-2b2)
s = r + math.sqrt(discriminant)
t = r - math.sqrt(discriminant)
term1 = math.sqrt(3.0)*((-t + s)/2)
r13= 2 * math.sqrt(q)
y1=(- term1 + r13*math.cos(q3/3) )
y2=(- term1 + r13*math.cos(q3+(2*math.PI)/3) )
y3=(- term1 + r13*math.cos(q3+(4*math.PI)/3) )


This calculator will help you dynamically to calculate the roots of the quartic equation. Calculating roots of quartic equation is made easier.




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Convert and Calculate - Maths Calculation and Conversion - An easy learning curve.

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