x2+3x+2=0 (x+2)(x+1)=0 x=-2 or -1
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Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
For an equation of the form ax² + bx + c = 0 you can find the values of x that will satisfy the equation using the quadratic equation: x = [-b ± √(b² - 4ac)]/2a
Using the quadratic equation formula: x = 8.42 or x = -1.42
The main advantage is that, when it works, it is simple and gives the roots quickly. The main disadvantage is that it does not always work. If the discriminant of the quadratic equation is not a square, then it will not work. Also, if the coefficients have many factors, there may be a very large number of factor pairs you need to try to find the required sum/difference.
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is Where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.) The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square." Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). One common use of quadratic equations is computing trajectories in projectile motion. Because it is in the form of ax^2+bx+c=0