The only pair of numbers that adds up to -14 and multiplies to 49 is -7 and -7. Here's another example: 0 = x 2 - 14 x + 49. This gives you two solutions: x = -6 and x = -4. To find the solution set for this equation, you set ( x + 6) equal to zero, and set ( x + 4) equal to zero. Now, factor the polynomial into 0 = ( x + 6)( x + 4). You need to find two numbers that add up to 10 and have a product of 24. Next, look at the coefficient of the x term, 10, and the constant term, 24. For example, if you have 0 = 2 x 2 + 20 x + 48, you can divide both sides of the equation by 2 to obtain 0 = x 2 + 10 x + 24. The first step in factoring is to divide both sides of the equation by A.
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(Your browser must allow JavaScript, usually the default setting.) You can also use the quadratic solver above.
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However, the Quadratic Formula always yields the correct solution. Linear factoring is not possible when the roots are imaginary, complex, or irrational. Quadratic equations can be solved by either factoring the polynomial into two linear factors and setting each equal to zero, or by plugging A, B, and C into the Quadratic Formula or a quadratic calculator. If a parabola does not intersect the x-axis, it means that the roots are either imaginary or complex numbers. If you graph a parabolic equation of the form y = Ax 2 + Bx + C, the points where the parabola crosses the x-axis are the solutions. If A, B, and C are real numbers, then the solution set of a quadratic equation can be either two real values, one real value repeated, or two imaginary values that are complex conjugates of one another.
![quadratic equation calculator quadratic equation calculator](https://i.ytimg.com/vi/b8iO5oJuIc8/maxresdefault.jpg)
In algebra, a quadratic equation is a second-degree polynomial equation of the form