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Plug in the coefficients into each box. If the equation has a 'missing term' (for example, no x

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Examples (click below to activate) |
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Quartic: 15x^{4} - 58x^{3} + 8x^{2} - 80x + 64 = 0 |

Cubic: 3x^{3} - 10x^{2} + 14x + 27 = 0 |

Quadratic: 10x^{2} - 28x + 16 = 0 |

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Plug in the coefficients into each box. If the equation has a 'missing term' (for example, no x2 term), then enter it as a zero. If your equation is Quartic (in the form of ax4 + bx3 + cx2 + dx + e = 0), simply enter in the coefficients like normal. If your equation is Cubic (in the form of: ax3 + bx2 + cx + d = 0), enter in a 0 into the x4 field and then enter the coefficients as normal. If the equation is Quadratic (in the form of ax2 + bx + c = 0), enter in a 0 into both the x4 AND x3 fields and then enter the coefficients as normal

In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form ax^2+bx+c=0 where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The parameters [1] a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two. Quadratic equations can be solved by factoring, by completing the square, by using the quadratic formula, or by graphing. Solutions to problems equivalent to the quadratic equation were known as early as 2000 BC.