Solution equation: Z ^ 2-2zi-5 = 0

Solution equation: Z ^ 2-2zi-5 = 0


z^2-2zi + i^2 = 5 +i^2 = 4
So (Z-I) ^ 2 = 4
So z = ± 2 + I



The progress of high IQ in solving mathematical inequality equation in Senior Two
We know that n is a positive integer, and prove that 1 / 2 is less than or equal to 1 / (n + 1) + 1 / (n + 2) +... + 1 / (2n) is less than 1
Please write down the detailed process of solving the problem


1 / (n + 1) + 1 / (n + 2) +... + 1 / (2n) has n terms,
Greater than or equal to n (1 / (2n)), that is, greater than or equal to 1 / 2
Less than or equal to n (1 / (n + 1)), that is, less than or equal to N / (n + 1) less than 1



Solving equation x ^ 4-15x ^ 2 + 10x + 24 = 0
Solving equation x ^ 4-15x ^ 2 + 10x + 24 = 0
HELP


-4,-1,2,3
You can try several numbers in the decomposition factor of 24, such as 1, 2, 3, 4, 6, and so on. You can try one to decompose the factor



How to solve the equation 29.3 + 9.7 = x?


29.3+9.7=x
x=39
Please accept. Thank you. If you have any questions, please ask me for help



7x = 4.8:6


7x=4.8:6
7x=0.8
x=0.8/7
x=4/35



A company purchases 400 tons of certain goods a year, X tons each time, the freight is 40000 yuan / time, and the total storage cost of a year is 4x0000 yuan. To minimize the sum of the total cost of a year and the total storage cost, x = ()
A. 10B. 20C. 40D. 80


According to the known conditions, the sum of the total cost and the total storage cost in a year is 4.400x + 4x = 1600x + 4x ≥ 160; when 1600x = 4x, i.e. x = 20, take "="; that is to minimize the sum of the total cost and the total storage cost in a year, then x = 20



On the equation of X
Two X 1 x 2 of the equation x & sup2; - (2m-8) x + M & sup2; - 16 = 0, satisfying x 1 < 3 / 2 < x 2, find the range of real number M


Consider first that "Tower of" is greater than 0
M is less than 4
When x = 1.5, the original formula is less than 0 (2m-7) (2m + 1) and less than 0
M is greater than - 0.5 and M is less than 3.5
To sum up
M is greater than - 0.5 and M is less than 3.5



On the equation of circle
Given that the circle m is inscribed under the semicircle C: y = root sign (100-x ^ 2), and the circle m is tangent to the X axis, the trajectory equation of the center of the circle m is obtained


∵ the circle m is tangent to the X axis, ∵ let the radius of the circle m be r, then the center of the circle is (a, R)
∵ C: y = under the root sign (100-x ^ 2), the center of the circle is (0,0), the radius is 10, and the semicircles are distributed above the x-axis
∵ circle m inscribed in semicircle C ∵ (10-r) ^ 2 = a ^ 2 + R ^ 2
That is, 100-20r + R ^ 2 = a ^ 2 + R ^ 2
A = 100-20r under root)
The coordinates of the center of the circle are (100-20r, R) under the root sign
The trajectory is also a semicircle



Find the minimum value of F (x) = x2-1 / x2 + X-1 / X (x is less than 0)
2 after X is the square sign... It seems that we need to use inequality,


f'(x)=2x+2/x3+1/x2
=2x4/x3+x/x3+2/x3
Because x



For the equations (1) {4x-5y = 8, 7x + 3Y = 12} and (2) 7x + 3Y = 12, the following statements are correct:
a. The solution of (1) must be the solution of (2) and the solution of (2) must be the solution of (1)
c. The solution of (1) is not the solution of (2), and the solution of (2) is not the solution of (1)


If a is chosen, the solution of the first system of equations means the solution satisfying the two equations. Therefore, the second system of equations must be satisfied, and the second system of equations must be satisfied
The solution of 7x + 3Y = 12 is not necessarily suitable
4x-5y = 8, for example, x = 1, y = 5 / 3, you can give a counter example, there are still questions, you can go here to ask ha, skirt,
two hundred and fifty-three million sixteen thousand and ninety-four