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Q: What type of problems have imaginary numbers?

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No. Irrational numbers are real numbers, therefore it is not imaginary.

No difference. The set of complex numbers includes the set of imaginary numbers.

No, it is imaginary. Irrational numbers are a subset of real numbers Real numbers and imaginary numbers are sets without any overlap.

Yes, imaginary numbers are a subset of complex numbers.

Imaginary numbers are not a subset of the real numbers; imaginary means not real.

The set of Real NumbersThe set of Imaginary Numbers

2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.

imaginary numbers are numbers that are a negative square root, which is not possoble therefor it is called and imaginary number. ex the square root of -24 is an imaginary number

Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.

Rafael Bombelli defined imaginary numbers in 1572, and Descartes named them 'imaginary' in 1637. It wasn't until the work of Euler in the 1700's that a usefulness for imaginary numbers was found, though. See the Wikipedia articles I linked for some good information on imaginary and complex numbers. I also linked an explanatory video that is pretty good as well.

An imaginary number is symbolized by the letter i

It helps to visualize the numbers on a plane. The complex numbers occupy the entire plane. The real numbers are all the numbers on the horizontal axis, the imaginary numbers are all the numbers on the vertical axis. A complex number thus has a real and an imaginary part, a + bi, where a and be are real numbers (for example, 3 - 2i).

The basic theory of imaginary numbers is that because (-) numbers squared are the same as (+) numbers squared there is not a correct continueos line on a graph.

non-imaginary numbers

Imaginary number is a number that consist of only Imaginary part. Such as i, 40i, 1/2i, etc. While the difference between the imaginary numbers and the complex numbers are that complex number also contains Real numbers, and can be written as a + bi. For example, 30+i, 1/2+1/2i, etc.

No. None are because the opposite of a real number is an imaginary number. In real numbers there are rational, irrational, counting, whole numbers, and integers.

no

No, both positive and negative numbers are part of the so-called "real" numbers. The so-called "imaginary" numbers are outside the number line.Imagine the real numbers as a line from left to right, and the imaginary numbers a a separate line, from top to bottom. The place where they meet is zero. Positive is to the right of zero, negative to the left, imaginary numbers like +i or +3i to the top of zero, and negative imaginary numbes like -5i to the bottom of zero.

Always. The set of imaginary numbers is a subset of complex numbers. Think of complex numbers as a plane (2 dimensional). The real numbers exist on the horizontal axis. The pure imaginary are the vertical axis. All other points on the plane are combinations of real and imaginary. All points on the plane (including imaginary axis and real axis) are complex numbers.

imaginary numbers occur in the quadratic formula because of the radical symbol, and the possibility of a negative radican and that results in imaginary numbers. I hope this helped!

They aren't imaginary.

The mathematical importance of an imaginary number is to allow the result of a square root of the imaginary number to equal a negative number. One can find more extensive information on imaginary numbers and their importance on the Wikipedia website.

A complex number has a real part and a (purely) imaginary part, So imaginary numbers are a subset of complex numbers. But the converse is not true. A real number is also a member of the complex domain but it is not an imaginary number.

The imaginary number (i) is defined as the square root of -1. If you multiply i by i you get -1

Imaginary numbers were discovered when mathematicians tried to solve equations of the form x^2 + 2 = 0