Before going to learn about solving quadratic equations, let us recall a few facts about quadratic equations. The word “quadratic” is originated from the word “quad” and its meaning is “square”. It means the quadratic equation has a variable raised to 2 as the greatest power term. The standard form of a quadratic equation is … Read more
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points … Read more
How to Determine the Domain and Range of an Inverse Trigonometric Function?In this section, you will learn how to find the domain and range of inverse trigonometric functions. To make you understand the domain and range of an inverse trigonometric function, we have given a table that clearly says the domain and range of inverse … Read more
Comparing numbers is a basic concept that we have learned in our primary classes. When we have two numbers or quantities to compare, then we use three basic symbols, they are: Equal to (=) Greater than symbol (>) Less than symbol (<) Let us learn in this article, how to compare two numbers and what sign … Read more
A nonlinear function is most easily described as whatever is not a linear function. Learn what a linear function is and be able to define a nonlinear function; using examples, learn how to distinguish between the two. What are Linear Functions? The easiest way to define a nonlinear function is as a function that is … Read more
The Discriminant When does ax2+bx+c=0 have a real solution? Well, we know how to find the solutions using the quadratic formula: x=−b±√b2−4ac2a. That makes it look like we can always get solutions. However, we can’t always exercise a square root! Sometimes you’ll see a negative number under the radical. A negative under the radical means there is no real … Read more
Relations and Functions are the most essential topics in algebra. Relations and functions – these are the two different words having separate meanings mathematically. You might get confused about their difference. Before we go deeper, let’s understand the variation between both with a simple example. An ordered pair is described as (INPUT, OUTPUT): The relation … Read more
Inverse Property of Addition is what number you add to a provided number to make the sum zero. For instance, if we take the number 3 and add -3 to it, the result is zero. Therefore, the additive inverse of 3 is -3. We come across such positions in our daily life where we nullify … Read more
The geometric progression is a sequence in which every term bears a constant ratio to its predecessor. These sequences are referred to as geometric progressions. In order to get the next term in the geometric progression, we have to multiply with a fixed term known as the common ratio, every time, and we can also divide the … Read more
The standard form is referred to as the general method of representing any type of notation. A standard form formula represents the commonly accepted form of an equation, which is the standard form. As an example – The standard form of a polynomial is to write the terms with the highest degree first (descending order … Read more