Quartic Formula

Use the simple Quartic formula provided below to find the roots of a biquadratic equation. In quartic equation formula, the largest exponent is four ie, 4thdegree equation. The equation is ax4 + bx3 + cx2 + dx + e = 0. Here a, b, c and d are the root values. Quartic is the polynomial which can be solved using any of the methods such as factoring, completing the square, rational root theorem, using a graphing calculator, or by using the quadratic formula.

Quartic Equation Formula

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

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In this Quartic formula, there will be four complex solutions and it could have real and imaginary roots to make up a total of four. Use the quartic equation formula for your personal reference.

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