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Some of the jobs that use complex conjugates include quantum mechanics, electrical engineers and physicists. Complete understanding of generators and motors require the knowledge of imaginary numbers.
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Which properties of mutiplication are used to simplify complex fractions?
The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.
Name 2 complex number that when multiplied together become a real number?
Any pair of complex conjugates do that.
What are imaginary numbers of the form a bi and a-bi?
Those are both 'complex' numbers. Together, they are a pair of complex conjugates.
If the discriminant is negative the equation has?
No real roots but the roots are a pair of complex conjugates.
What kind of number will always result when you multiply complex conjugates?
a pure real number
Can the product of two non real complex numbers be a real number?
Yes. Consider as the simplest example: i * i = -1. But there are others: (a + bi)(a - bi) = a² + b². When you multiply conjugates, the result is always real. This is useful when dividing to get a pure real number in the denominator.
Which arithmetic operation requires the use of complex conjugate?
It can be used as a convenient shortcut to calculate the absolute value of the square of a complex number. Just multiply the number by its complex conjugate.I believe it has other uses as well.
Is quadratic formula can be used in complex number?
Yes, if you have an equation az^2 + bz + c = 0 where a, b, and c are complex numbers, you can use the quadratic formula to find the (usually two) possible complex values for z. However, they will usually not be conjugates of each other.
Can you have a quadratic function with one real root and one complex root?
No you can not. Complex roots appear as conjugates. if a root is complex so is its conjugate. so either the roots are real or are both coplex.
What jobs use complex numbers?
electrical engineers and quantum mechanics use them.
What is the complex conjugate complex number 8 6i?
Since you didn't show an operator, we'll use: 1. 8-6i 2. 8+6i 3. 8 times 6i = 48i The complex conjugates are: 1. 8+6i 2. 8-6i 3. -48i
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
