How To Solve Cubic Equation Ax^3+ Bx^2+ Cx+D = 0

HOW TO SOLVE CUBIC EQUATION AX^3+ BX^2+ CX+D = 0

How To Solve Cubic Equations?

For solving a cubic equation first reduce it to a quadratic equation and then solve either by factoring or the quadratic formula. The general mathematical representation of a cubic equation is AX^3+ BX^2+ CX+D = 0

Some Cubic Equations For Example ➜ ➜ ➜ ➜ ➜ ➜

x3 − 6x2 + 11x – 6 = 0 13x3-3x2-98 = 0 34x3+76x2-29x = 0 2x3+23x2 = 0 12x3-48x = 0 45x3-360 = 0

Solution Of Example 1 Cubic Equation X3 − 6x2 + 11x – 6 = 0 x − 6x + 11x – 6 3

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⟹(x – 1) is one of the factors. ⟹By dividing x3 − 6x2 + 11x – 6 by (x – 1), ⟹ (x – 1) (x2 – 5x + 6) = 0 ⟹ (x – 1) (x – 2) (x – 3) = 0 This of the cubic equation solutions are x = 1, x = 2 and x = 3.

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