The greatest common factor and the least common multiple of 8 and 10 emergency

The greatest common factor and the least common multiple of 8 and 10 emergency

8=2×2×2=2×4
10=2×5=2×5
Greatest common factor: 2
Least common multiple: 2 × 4 × 5 = 40
A: the greatest common factor is 2, and the least common multiple is 40
The greatest common factor and the least common multiple of 8 and 10
Greatest common factor 2
Least common multiple 40
The denominator of the complex number is 1-2i, and the numerator is 2 (2 + I). What is it?
2(2+i)/(1-2i)=(4+2i)(1+2i)/(1+4)=10i/5=2i
Such a complicated problem! It wasn't a problem n years ago It's a pity that I've forgotten all about it!
2(2+i)/(1-2i)
=2(2+i)(1+2i)/(1-2i)(1+2i)
=2(5i)/(1+4)
=2i
2I
How to judge the resonance of RLC series circuit
Let's see the resonance frequency f = 1 / (2 π √ (LC)
Can I be the denominator
For example, is 3 / I wrong or must it be - 3I?
In general, the denominator should be changed into a form without I, that is, the denominator should be real
Resonance of AC circuit: according to the resonance characteristics of RLC series circuit, how to judge whether the circuit reaches resonance in the experiment?
1. Gradually change the frequency or L, C parameters, and observe the series resonance when the current reaches the maximum value on the ammeter;
2. Gradually change the frequency or L, C parameters, and observe the current and voltage waveforms on the oscilloscope at the same time. When the two are in phase, it is judged that series resonance occurs
The simplest way is to observe the current of the slot circuit! When it reaches the resonance point, the current will drop sharply! When it reaches a low value! When it is detuning, the current will increase again!
If the complex number of the denominator multiplied by the conjugate complex number equals zero, what should we do
5I (1 + I) multiply 5I to get 5I + 5i ^ 2 = 5i-5, then multiply 5I + 5 to get - 25-25 to get - 50
A question about the plural
It is known that complex numbers Z and Z 'satisfy 10z ^ 2 + 5Z' ^ 2 = 2zz ', and Z + 2Z' is a pure imaginary number. It is proved that 3z-z 'is a real number
There is another way: the absolute value of Z + 1 minus the absolute value of Z-I is equal to 0. What is the minimum value of the absolute value of Z + I
Let z = X1 + Y1 * I, Z '= x2 + Y2 * I, Z + 2Z' be pure imaginary numbers, then X1 = - 2x2
Substituting: 10z ^ 2 + 5Z '^ 2 = 2zz' to get: 49x ^ 2-10 (Y1) ^ 2-5 (Y2) ^ 2 + 2y1 * y2 = 0,
-42x2*y1+14x2*y2=0
X2 = 0 or 3Y1 = y2z + 2Z '
If x 2 = 0, then Y 1 = y 2 = 0 and Z + 2Z 'are pure imaginary numbers
So 3z-z 'is a real number
The second problem: satisfy the condition: the absolute value of Z + 1 minus the absolute value of Z-I is equal to 0. On the line y = x, the minimum distance from the point on the line y = x to (0, - 1) is (radical 2) / 2
What's the meaning of complex multiplication? How to solve a rotation problem with complex number
In fact, complex number is a kind of number that is defined. The expression is x = a + bi, where I is the sign of complex number (of course, it is not also complex number, but it will also be classified as real number), thus forming one. That is to say, each complex number has a unique point corresponding to it, which is equivalent to a vector. The starting point is the origin, and the ending point is the complex point
It depends on your mind
。 a+bi=r(cosA+isinA)
c+di=q(cosB+isinB)
Multiplication = RQ [(COSA + isina) (CoSb + isinb)]
(cosA+isinA)(cosB+isinB)
=cosAcosB-sinAsinB+i(sinAcosB+cosAsinB)
=cos(A+B)+isin(A+B)
The complex number Z = 1-I is known_ (1) Calculate | Z |;; (2)
The complex number Z = 1-I is known_ (1) Calculate | Z |; (2) if Z ^ 2 + AZ + B = 3-3i, find the value of real numbers a and B
I'm also a high school student. It's very simple