Quadratic formula is the best and the easiest way of solving quadratic equations. Most mathematicians believe that this formula can solve even the complex quadratic equation you can think of. Then there is a quadratic formula calculator that uses the quadratic formula to solve equations. First of all a quadratic formula looks like the one below
Where x is the variable being solved, a, b and c being the numerical coefficients of the quadratic equation that you may come across. They literally represent any number that you can think of. The values of a, b and c could be 6, 11, and 28.
Learning the calculator through examples
If you do not know how to use the above formula, sit back and relax. But be very attentive. There is a website that you can use to learn these things. It is quickmath.com; the best online math tutoring site that anyone can access for free.
Let me show you how the site uses examples to solve quadratic equations using the quadratic formula calculator.
Given an equation like this,
It can be solved this way;
Here, a equals to 10, b equals to -7, and c equals to -23
Therefore, we will get
The final result will be
X= 1.8575 or
The two answers should give you the same results. You can proof it by substituting x in the equation using any of its value we obtained here.
An equation could be in the form of words. So, you will first have to deduce it there and form a quadratic equation then try to solve it.
Question: Solve for the value of x .if three times x squared plus two x minus eight equals to 10.
Okay, this is not a good example but was just trying to illustrate how you may come across such equations.
Forming an equation will be like
Using the quadratic formula of
The equation will need to be simplified further since we still have some like terms that have not been grouped together. The final equation should be;
Therefore, an equals to 3, b equals to 2 and value of c will be -18
The values of x will be -2.805 and 2.14
You can use these values to ascertain that they are correct. If you did not get the above values for x, then you may have skipped some steps, and therefore the best thing you can do is to retrace your steps till the place you got lost. From there, you can start following the steps again. The good thing is that they are pretty straight forward steps.
Make sure you practice doing this regularly until you master it. Once that happens, nothing quadratic will prevent you from passing that math exam you are about to sit for.