I explained the general form that a quadratic equation will take, with the key being that there is an x2 term present. To solve them without using the quadratic formula, you need to use a bit of factoring methods to come up with the roots. In particular, one common factoring method to use is the…

# Category: Main Concepts

## How to Solve Quadratic Equations

Following up my previous post that gave you advice on how to solve equations, in this post I would like to go over some strategies on how to solve quadratic equations. Quadratic equations become very common in high school math and college math, and they require a bit more work sometimes to solve. You may…

## Using the Quadratic Formula

So, now that you know the answer to ‘What is the Quadratic Formula’ next I will show you examples of using it. Refer back to my last post to familiarize yourself with what the quadratic formula looks like. I’ve also explained there the nature of the roots of a quadratic equation. If you haven’t read…

## The Quadratic Formula

Following my posts on How to Solve Quadratic Equations, you will soon find that not all quadratic equations can be solved by quadratic factoring, and you will come to rely on The Quadratic Formula to help you. As a quick refresher, a quadratic equation is one which takes the form of ax2 + bx +…

## Guide on How to Solve Equations

Knowing how to solve equations is a very important skill to have in mathematics courses. There are all kinds of manipulations and substitutions that could be possible for any given equation, but knowing where and when to apply certain techniques is crucial to solving rational equations correctly. In this post, I am going to go…

## Methods of Factoring

For this post, I would like to do one that talks about various methods of factoring which you can use to find factors. There are several different factoring techniques that you can use, depending on the situation, so I think that I would like to include a variety of methods or factoring tricks. First of…

## Derivatives and an Introduction to Differential Calculus

One of the main concepts studied in the field of differential calculus is based on the notion of change – specifically, how one quantity changes compared to another. Perhaps a more succinct version of this physical definition would be “rate of change.” Alternately, a geometric definition could simply be the slope of a curve at…

## Logarithm Rules

In my previous post, I introduced the concept of logarithms to you. I explained how logarithms and exponents are connected, and then showed you a quick trick to help you remember how to convert between the two. Now in this post, I’m going to go a little bit deeper and explain a few rules of…

## What is a Derivative in Calculus

When you are introduced to the study of calculus in your math class, one of the first concepts you will deal with is derivatives. Derivatives do not sound like your typical math functions that you would be familiar with up this point, but they are a core component of calculus and you will work with…

## Decimal, Binary, Octal, and Hexadecimal Number Systems Explained

When we talk about numbers, in most cases, we are referring to numbers composed of the digits 0–9. We don’t really put any thought into it, and just accept that this is how numbers are represented, because this is probably what we were taught when we were really young. However, this is just one possible…