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What is absolute value?
Absolute Value is the distance the number is from zero on the number line. It is always a positive value.Ex. |-74| = 74Ex. AV -6 = |-6| = 6Ex. (a=2) AV a2 - 3a = |a2 - 3a| = |22 - 2*3| = |4 - 6| = |-2| = 2It can also be termed as the square root of the sum of the square of the real numbers in a complex number.Absolute value is the distance from zero. so: |3| = 3 and |-3| = 3 also because they are both three spaces away from zero.---The absolute value is the the magnitude of a number, ignoring sign (or in the case of complex numbers, the real/imaginary parts as well).For real numbers, it can be said that the absolute value is the distance of the number away from zero. On a number line: .....|.....|.....|.....-4 0 4The absolute value of both 4 and -4 (|4| and |-4|) are 4, because they are 4 units away from zero.In the complex plane, the absolute value is typically called its magnitude. Then the magnitude of a number is its distance on the Re-Im plane from the orgin (absolute zero). So a number 3+4i is three units right on the Real (x) axis, and 4 units up on the Imaginary (y) axis. Forming a right triangle, with sides 3, and 4, the hypotenuse would be the line from this point to the origin. Using the pythagorean theorem, the distance of this point to the origin is √(32+42) = 5.(see the related link)
What number squared equals 16?
4i where i = sqrt (-1) 4i x 4 i = 16 i squared = -16
What is the product for 2 plus 4i?
A product is a binary operatoin. That is, it requires two numbers to be combined. There is only one number, 2 + 4i, in the question.
Is the square root of any real number always positive?
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
What is the additive inverse of 6 plus 4i?
The additive inverse of 6+4i is -6-4i since their sum is 0. It is analogous to real numbers where the additive inverse of 6 is -6 since 6+-6 =6-6=0 In the case of complex numbers, we add them by adding the real parts and then adding the imaginary parts. So to find the complex additive inverse of a+bi, we find the inverse of a which is -a and of bi which is -bi and so the additive inverse is -a-bi
Find the absolute value of the complex number z equals 3 plus 4i?
('|x|' = Absolute value of x) |3+4i| = √(32 + 42) = √(9+16) = √25 = 5 Thus |3+4i| = 5.
What is the conjugate of -5 4i?
-9
What is the conjugate of the complex number 7-4i?
To get the conjugate simply reverse the sign of the complex part. Thus conj of 7-4i is 7+4i
What is the conjugate of -8-4i?
The conjugate of -8-4i is -8+4i. It is obtained by changing the sign of the imaginary part of the complex number.
What is the absolute value of -4i?
4. i is just the imaginarY number used in an equatiOn, where there is a negative root (not possible to have a negative root) All yoU do is multiply the negative Root with a negative one, and you'll See your answer. absoluTe valUe turns any negative number into a Positive, even an Imaginary number. Do this and you'll be fine with your trigonometry!
What is the additive inverse of a complex number?
Just change the sign of both the real part, and the imaginary part. For instance, the additive inverse of:3-4i is: -3+4i (If you have the complex number in polar coordinates, add or subtract pi to the angle.)
What is the sum of two complex conjugate number?
Since the imaginary parts cancel, and the real parts are the same, the sum is twice the real part of any of the numbers. For example, (5 + 4i) + (5 - 4i) = 5 + 5 + 4i - 4i = 10.
How do you factor xsquared plus 16?
(x - 4i)(x + 4i) where i is the square root of -1
What are 10 complex numbers with the absolute value of 5?
Use the Pythagorean theorem. 5, -5, 5i, and -5i will work, as well as any combination of a real and imaginary number such that (real part) squared + (imaginary part) squared = 25, for example, 4 + 3i, 3 + 4i, 4 - 3i, etc.
What is absolute value?
Absolute Value is the distance the number is from zero on the number line. It is always a positive value.Ex. |-74| = 74Ex. AV -6 = |-6| = 6Ex. (a=2) AV a2 - 3a = |a2 - 3a| = |22 - 2*3| = |4 - 6| = |-2| = 2It can also be termed as the square root of the sum of the square of the real numbers in a complex number.Absolute value is the distance from zero. so: |3| = 3 and |-3| = 3 also because they are both three spaces away from zero.---The absolute value is the the magnitude of a number, ignoring sign (or in the case of complex numbers, the real/imaginary parts as well).For real numbers, it can be said that the absolute value is the distance of the number away from zero. On a number line: .....|.....|.....|.....-4 0 4The absolute value of both 4 and -4 (|4| and |-4|) are 4, because they are 4 units away from zero.In the complex plane, the absolute value is typically called its magnitude. Then the magnitude of a number is its distance on the Re-Im plane from the orgin (absolute zero). So a number 3+4i is three units right on the Real (x) axis, and 4 units up on the Imaginary (y) axis. Forming a right triangle, with sides 3, and 4, the hypotenuse would be the line from this point to the origin. Using the pythagorean theorem, the distance of this point to the origin is √(32+42) = 5.(see the related link)
Can you factor complex numbers?
Yes. Consider, if you can factor complex numbers, then logically, you should be able to take two complex numbers, multiply them together, and get a third. That can indeed be done. For example: (4i + 7)(3i + 2) = -12 + 8i + 21i + 14 = 29i + 2 Therefore, the complex number 29i + 2 must be divisible by 4i + 7 and 3i + 2.
Find the complex fourth root of 256i Express your answer in a plus bi form?
The four roots of 4√256 are {4, -4, 4i, and -4i}. Note that two of them are real numbers and the other two are pure imaginary, therefore 0 + 4i is the same as just 4i
