1 Litre of Tears
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Alternative Titles: One Litre of Tears | １リットルの涙 | A 15-year-old Ikeuchi
Aya was an ordinary girl, the daughter of a family who works at a tofu
shop, and a...
Introduction to Algebra: Common Terms Explained
Reading Math resources for Algebra is as wise as practicing writing – the more you practice, the more you improve your problem solving skills. But first, it’s important to define top Algebra terms to get a better understanding of how things work.
Expressions are mathematical terms or sums or differences of mathematical terms that may use variables, or numbers, or both. Examples of expressions are: 4, x, 2 + 5, 2xy + 3, 2 + 6x (6 – 2), z + 3x (8 – z).
Variables are symbols that represent a number. Typically, we use letters such as x, t, or n for variables. For example, X stands for one side of a right triangle. It’s helpful to use a letter that represents the variable it stands for.
Examples:
Let x be the number of cars in a parking lot, let n be the time it takes for a car to travel from point A to point B.
Equations are a statement expressing the equality of two numbers. We use equations to relate numbers and variables. Many problems in Algebra may be written down as equations easily with little practice, and there are simple rules to simplify equations.
Complex Numbers Problems and Solutions
This is one in a series of Math resources you’ll find in this site. In this article, we hope to clear up common complex numbers problems. They aren’t called complex for no reason but, as with all other math problems, these have solutions.
What are complex numbers?
First, it’s best to be cleared about complex numbers. Not too long ago, mathematicians of all time devised a complete number system that includes both real and imaginary. Numbers in this system are called complex numbers. These numbers is composed of all sums a + bi where a and b are real numbers and i is imaginary.
Real numbers belong to the complex number system because a = a + Oi.
I acts as would any other variable, such as:
Ex.
Problem: 7i + 9i
Solution: combine like terms.
16i
Like real numbers, complex numbers may be equal, as in the example: a + bi = c + di, where a and c and b and d must be equal.
Ex.
Find the values of x and y in 3x + yi = 5x + 1 + 2i
Solution: From the above definition for complex numbers equality, group the real numbers equal and do the same for the complex numbers to get the answer.
3x = 5x + 1 yi = 2i
-2x = 1 y = 2
X = -(1/2)
Both examples show how to approach complex numbers problems.
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