What is the conjugate complex number of 5 / 3 + 4I?

What is the conjugate complex number of 5 / 3 + 4I?

5 / (3 + 4I) = [5 (3-4i)] / [(3 + 4I) (3-4i)] = 5 (3-4i) / 25 = 3 / 5 - (4 / 5) I, its conjugate complex number is (3 / 5) + (4 / 5) I

Let z = log * 2 (m ^ 2-3m-3) + I × log * 2 (M-3) (m ∈ R). If the point corresponding to Z is on the line x-2y + 1 = 0, what is the value of M?
The answer is ± √ 15. I also want to know why we can do this?

Let log * 2 (m ^ 2-3m-3) = x, log * 2 (M-3) = y be replaced by x-2y + 1 = 0
The point corresponding to Z is on the straight line x-2y + 1 = 0, so it can be directly substituted into
2=15
The answer is right = ± √ 15, I use the positive one directly, one less:)

The value of m when z = (m ^ 2-2m + m ^ 2I) - [(M + 6) I + 8] is negative,
Why not - 2?

Is a negative number. That is, the real part is less than zero. The imaginary part is equal to zero
The real part is less than zero

If xy = 1, then the minimum value of the algebraic formula 1 / (x ^ 4) + 1 / (4Y ^ 4)
(x ^ 4) and (4Y ^ 4) are denominators

XY=1 x=1/y 1/（X^4)+x^4/4>=2*1/（X^4)*x^4/4=1/2

In triangle ABC, ad is the middle line on the side of BC, e is the middle point of AD, connecting be and extending AC to point F, DG is the median line of triangle BCF
In triangle ABC, ad is the middle line on the side of BC, e is the middle point of AD, connecting be and extending AC to point F, DG is the median line of triangle BCF: Verification: AF is equal to half FC, EF is equal to one third be

Certification:
∵ DG is the median of △ BCF
∴CG =FG,DG1/2BF,DG∥BF
∵ e is the midpoint of AD
Ψ EF is the median of △ ADG
∴EF=/2DG,AF=FG
∴AF=FG=CG
∴AF=1/2FC
∵DG=1/2BF,EF =1/2DG
∴FE=1/4BE=1/3BE

What is the single digit of rational number 3 to the power of 2009

The fourth power of 3 is 81
The number of 81 digits is 1, so the number of any power of 81 digits is still 1
So 3 to the power of 2009 = 81 to the power of 502 times 3,
So is the single digit of 3 to the power of 2009 1 times 3 or 3

Materials like copper wire, we call them conductors, like plastics（
Materials like copper wire are called conductors. Materials like plastic are called insulators

Conducting electricity

Solve the following equation x + y + Z = - 1 4x-2y + 3Z = 5 Y-Z = 8-2x

x+y+z=-1 ①
4x-2y+3z=5 ②
2x+y-z=8 ③
③-①:x-2z=9 ④
①*2+②:6x+5z=3 ⑤
④ * 6 - ⑤: - 17Z = 51, z = - 3
Substituting 4: x = 2Z + 9 = 3
Substituting ①: y = - 1-x-z = - 1
The solution is x = 3, y = - 1, z = - 3

How to draw the circuit diagram of high-power electric lamp with one switch to control 10 lamps at 220 V voltage?
When using a wire, only 7 lights are on, and the other 3 lights are not on. I think it is the cause of shunt! Who can help draw a circuit diagram
The lights are the kind of high-power electric lights on the top of the hotel side by side!

A high-power lamp is connected with a line in series, and the partial voltage does not split. The actual power P = UI. If the partial voltage is too small, the actual power will not be on

Calculation: aa-b + bb-a=______ ．

The original formula is aa-b-ba-b = a-ba-b = 1