What is a quadratic equation?

The quadratic equation consists of one variable with three terms in standard form: ax

2 + BX + C = 0 . The first quadratic equations were developed as a method used by Babylonian mathematicians around 2000 BC for solving simultaneous equations. Quadratic equations can be used for problems in physics including parabolic movement, path, shape and stability. Several methods have evolved to simplify the solution of such equations for variable x . Any number of solvers of quadratic equations in which you can enter and automatically calculate the values ​​of the quadratic equation coefficients can be found online.

Three methods most commonly used to solve quadratic equations are factoring, finishing square and quadratic formula. Factoring is the easiest form of solution of quadratic equation. When the quadratic equation is in its standard form, it is easy to visualize if the constants are a b and c h that the equation represents a perfect square.First, the standard form must be divided and . Then, half of what is now must be the term b/and twice, what is now, the term c/and ; If this is true, the standard form can be demonstrated in the perfect square (x ± D) 2 .

If the solution of the quadratic equation is not a perfect square and the equation cannot be factor in its current form, then the second solution method - completion of square - can be used. After dividing using the and term, the term b/and is divided by two, squares and then added to both sides of the equation. The second square root of the perfect square can be compared to the second root of all the remaining constants on the right side of the equation to find x .

Final method of Standard Quadratic Equation is a direct replacement of constant coefficients ( a , b and c )Tical formula: x = (-b ± sqrt (b ^{2 -4ac)/2a} , which was derived within the conserved equation. The discriminatory quadratic formula (b 2 - 4AC) appears under the square root and before the equation is solved for x , the type and number of solutions found. The type of solution depends on whether the discriminatory is equal to the square root of a positive or negative number. When there is a discriminatory zero, there is only one positive root. When discriminatory positive, there are two positive roots and when discriminatory negative, there are both positive and negative roots.