Solving simple quadratic* equations
A wide variety of methods can be used to solve quadratic equations. We will start with the simplest method.
Example 1.
![Picture](/uploads/1/1/5/3/11531538/2404239.png)
The first thing to take into account is that if (x-3) and (x+2) multiply together to equal 0, then one of them must be 0. With that in mind, we can say (x-3) = 0 or (x+2) = 0. Therefore x = 3 or x = -2. It is important to write OR and not AND.
Example 2.
![Picture](/uploads/1/1/5/3/11531538/3813628.png)
This is similar to what we have done before. We first factorise the equation to get (x+4) (x-2) = 0. Therefore x = -4 or x = 2.
Example 3.
![Picture](/uploads/1/1/5/3/11531538/1087481.png)
We have looked at the cross method which can be used to solve hard problems. Now we will use another method by using the quadratic formula. This formula is very important in the field of quadratics and will be used to solve harder problems later on.
![Picture](/uploads/1/1/5/3/11531538/7962840.png)
Say we have this trinomial. This time, instead of finding the factors, we simply plug in the values. We write down what the values of a, b and c are; a = 6, b = -19, c = 3.
![Picture](/uploads/1/1/5/3/11531538/437719.png)
Now, we substitute the values into the formula to get this. After simplifying we get 2 solutions: x = 19+17/12 and 19-17/2. Therefore x = 3 and x = 16, which can be written as (x-3) (6x+1).
Fun quadratic formula song!!
Fun quadratic formula song!!
Quadratic formula song by Michael Kelly.