Solving a Quartic Equation by a general formula |
At this web page you are able to solve an equation of the fourth degree. This equation can be described by the following general expression: F(X) = AX4 + BX3 + CX2 + DX + E X is an unknown real or complex number. F(X) is a function of X. May also have the symbol 'Y'. A, B, C, D and E are all real numbers of constants. If you set F(X) = 0, the equation can be solved. Example X4 - 4X3 + 4X2 + 16X - 32 = 0 This equation has got two real and two complex roots: X1 = -2, X2 = 2, X3 = 2 - i2 and X4 = 2 + i2. I've drawn the graph of F(X): F(X) = X4 - 4X3 + 4X2 + 16X - 32, [-6,7.5]: AX4 + BX3 + CX2 + DX + E = 0 Calculation Input the values of A, B, C, D and E. To start the calculation please press the button. If the calculation does not work, try to first multiply all constants with -1. Algebra |