In mathematics, the additive inverse of a complex number is the number that, when added to the original number, yields zero. In other words, it is the negative of the original number. In the complex plane, the additive inverse of a complex number is its conjugate.
The additive inverse of the complex number 9-4i is 9+4i.
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What is the additive inverse of 9-4i?
The additive inverse of 9-4i is 9+4i. This is because when you add 9-4i and 9+4i together, you get 9-(-4i)=9+4i. Therefore, the additive inverse of 9-4i is 9+4i.
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What is the definition of the additive inverse?
The additive inverse of a number is the number that, when added to the original number, results in a sum of zero. In other words, the additive inverse of x is –x. The additive inverse is also sometimes referred to as the opposite.
The concept of an additive inverse is fundamental in mathematics, and it is used in a variety of ways. One of the most common is in solving equations. For example, if we have the equation 3x + 5 = 0, we can solve it by adding the additive inverse of 5 to each side to get 3x = –5. Then, we can divide each side by 3 to get x = –5/3.
The additive inverse is also useful in working with radicals. For instance, if we want to simplify the square root of –25, we can add the additive inverse of –25, which is 25, to both sides to get the equation √–25 + 25 = 0. This allows us to take the square root of 25 on both sides, which gives us 5 = 0. From there, we can see that the square root of –25 is 5.
In general, the additive inverse is a very important tool in mathematics that can be used in a variety of ways. It is a simple concept, but one that is crucial to understand in order to be successful in math.
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How do you find the additive inverse of a complex number?
The additive inverse of a complex number is defined as the number which yields a sum of zero when added to the original number. In other words, it is the number which cancels out the original number when added together. The additive inverse of a complex number can be found by using the following formula:
z = a + bi
where z is the complex number, a is the real part, and b is the imaginary part.
The additive inverse of z is:
z-1 = (-a) + (-b)i
where -a is the additive inverse of the real part, and -b is the additive inverse of the imaginary part.
Thus, to find the additive inverse of a complex number, we simply need to reverse the sign of both the real and imaginary parts.
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What is the additive inverse of 9i?
The additive inverse of 9i is -9i. This is because when you add -9i to 9i, the two terms cancel each other out and you are left with 0.
What is the additive inverse of 4-9i?
In mathematics, the additive inverse of a complex number is the number that results from negating both the real and imaginary parts of the complex number. In other words, the additive inverse of a complex number z is -z.
The additive inverse of 4-9i is -4+9i.
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Frequently Asked Questions
What is the additive inverse?
The additive inverse of a number is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.
How do you find the inverse of a complex number?
The inverse of a complex number is equal to the inverse of its conjugate.
How do you find the inverse of a ring of numbers?
To find the inverse of a ring, one first needs to identify the additive inverse. The additive inverse can be found using multiplication by −1; that is, −n = −1 × n. Once this is known, the inverse of the ring can be calculated simply by taking the negative of each element in the ring.
Which numbers on the number line are additive inverses?
5, -5 4, -4 2, -2 1, -1 0, 0
How to find the inverse of a function of a complex?
The inverse of a function of a complex variable can be found by solving the equation w = f(z). To do this, simply use the fact that w = f(z) equals (1 + i)z + (1 − i) to solve for z.
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