If you haven’t studied the complex numbers yet, when you get to negative root you should put the following:

We come across this case when in the general formula, the discriminant or root result is negative. Second-degree equations with complex solutions It is resolved following the usual procedure, although it seems obvious to add and subtract 0, but it is a good way to reach the 2 solutions.Īnother way of indicating the solutions is to develop the general formula to the end, to arrive at a solution but to indicate in writing that it is a twofold solution.

What you do in these cases is work with 0: Never do this because you will be suspended directly. When we get to this part of the resolution, we see the root result is 0.Ī serious mistake is to leave only 1 solution. Let’s see how to act in this case:Īs a priori we do not know how the solutions are going to be, we solve the equation like any other: When we are solving a second-degree equation and the root or discriminant result is 0, it is said that we have a double solution, since we are going to have the same solution repeated twice. Second-degree equations with double solution It is the same as with fractions, which when a result is not accurate, it is left in the form of a fraction. It is not mandatory to leave it in root form, but it is more comfortable to leave it like this, so you don’t have to drag decimals. The result could be given with decimals and would be just as correct. Therefore, mathematically, it is left in the form of a root: The first step is to solve the second degree equation using the general formula:Īt this point, we see that the root of 5 has no exact solution. When we have more practice, we will identify constants directly, without needing to transform our equation, but to begin with it is a very good way to avoid mistakes. Now we have it in the same way, where no minus sign appears and then a, b and c is obtained as in the first case: Therefore, we must transform our equation so that it is in the same way as the general form of the complete second degree equations: In the general form there are no less signs: Now, if we notice, the equation is slightly different, but it is cause of many errors if we are not careful. Remember that when there is nothing in front of the unknowns, it is because they are multiplied by 1, or in other words, it means that there is a 1 in front. In this case, in front of x squared, there is nothing, therefore a = 1.Īnd the term that does not carry x is a 4, so c=4. As we have said before, constants are the numbers that go in front of x squared, x and the term that does not carry x. The first step in solving complete second degree equations is to identify the constants correctly.

How to solve complete second degree equations Identification of constants in the second degree equation

Resolucion de ecuaciones cuadraticas