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What type of problems have imaginary numbers?
Imaginary numbers are only ever used when you are using the square roots of negative numbers. The square root of -1 is i. You may find imaginary numbers when you are finding roots of equations.
What is x squared plus 144 equals 0?
You can work this out by using what we call "imaginary" numbers. By definition, imaginary numbers are numbers that when squared, will produce a negative value. Usually these are represented by multiplying real numbers by a constant called "i", which is defined as the square root of negative one.In this case the answer will be:x2 + 144 = 0∴ x2 = -144∴ x = -1441/2∴ x = 1441/2 * -11/2∴ x = 12i
What are the Order of Operations when simplifying a negative square root if using the quadratic formula to solve a quadratic formula?
The usual rules for "order of operation" apply. Don't forget that the square root of a negative number is an imaginary number. As an example, the square root of -9 is 3i (that is, the square root of +9, times the "imaginary unit").
What the meaning of imaginary number with example?
An imaginary number is simply a number that contains 'i' which is simply shorthand for the square root of minus one. In the same way, we can write the square root of other negative numbers using i as a factor. For example;Sqrt(-64) = Sqrt(-1*64) = Sqrt(-1)*Sqrt(64) = i*8 = 8iThere are also 'complex numbers' which are simply combinations of real numbers (all positive and negative numbers) and imaginary numbers. For example;2+3iIs a complex number. Although these numbers seem not to "exist" (it's impossible to have a set of 8i golf balls, or for you to weigh 3i kg) they are very useful in the fields of mathematics, physics, and engineering, and allowing their existence can save a lot of trouble when it comes to doing difficult math.
Why cant you evaluate the square root of negative twenty five using real numbers?
using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number
How can there be a square root of a negative number?
Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.
What type of problems have imaginary numbers?
Imaginary numbers are only ever used when you are using the square roots of negative numbers. The square root of -1 is i. You may find imaginary numbers when you are finding roots of equations.
How many square roots do negative numbers have?
Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.
Why is there no solution to the square root of -169?
The answer is an imaginary number, because of the negative under the square root. The same number multiplied together will always be a positive number. For example, if you square negative one, the answer is positive one, because a negative times a negative is a positive. Because a square root undoes a square, there is no solution to the square root of a negative number. That's why your calculator could not compute this problem. However, there is a way to solve these types of problems by using imaginary numbers. The answer is 13i, where i is the square root of negative one.
If area of a circle is A equals pi X the square root of -2 the quantity squared does one need to take out an imaginary number?
You will never have an imaginary number when finding the area of a circle. Never. Imaginary numbers came to be when mathematicians were upset that a negative number couldn't have a square root. You will usually find them when using the quadratic formula.
What is the square root of negative 54 using imaginary numbers?
±3i√6 Rounded to two decimal places, the square root of +54 is equal to ±7.35. Therefore, the square root of -54, rounded to two decimal places, is equal to ±7.35 i.
What is x squared plus 144 equals 0?
You can work this out by using what we call "imaginary" numbers. By definition, imaginary numbers are numbers that when squared, will produce a negative value. Usually these are represented by multiplying real numbers by a constant called "i", which is defined as the square root of negative one.In this case the answer will be:x2 + 144 = 0∴ x2 = -144∴ x = -1441/2∴ x = 1441/2 * -11/2∴ x = 12i
What are the Order of Operations when simplifying a negative square root if using the quadratic formula to solve a quadratic formula?
The usual rules for "order of operation" apply. Don't forget that the square root of a negative number is an imaginary number. As an example, the square root of -9 is 3i (that is, the square root of +9, times the "imaginary unit").
Is a negative sign has a square root?
Yes, a negative sign has a square root.This is done through using the imaginary unit defined as: i = .for example the square root of -36 is square root of (-1) multiplied by square root of 36. Accordingly it equals 6i
Using imaginary i simplify the square root of negative 48?
sqrt(-48) = sqrt(48)i = sqrt(16x3)i = 4sqrt(3)i
3x3 magic square using positive and negative numbers?
123 123 123
Why are imaginary numbers important?
They are used for working out equations where the numbers you are working with are not physically possible, but we just imagine they are, such as the square root of a negative number In engineering, especially Electrical Engineering, using complex numbers to represent signals (rather than sines and/or cosines) make comparing and working with signals easier.
