How to compare the size of real number and imaginary number? For example, if you want to compare the sizes of 1 + 2I and 2, you can compare the modules of two numbers, that is, compare the sizes of 4 + 1 and 4 under the root?

How to compare the size of real number and imaginary number? For example, if you want to compare the sizes of 1 + 2I and 2, you can compare the modules of two numbers, that is, compare the sizes of 4 + 1 and 4 under the root?


The comparison between the sizes of imaginary numbers and imaginary numbers can be made by comparing the sizes of modules,
This sentence is wrong. The imaginary number can't compare the size, the module of the imaginary number is the real number, or the size relationship of the real number
Similarly, imaginary and real numbers cannot be compared in size



For two real numbers AB that are not zero, it is stipulated that a times b equals 1 / b minus 1 / A. if 1 times [x + 1] equals 2, what is x


Because 1 times (x + 1) equals 2, so [1 / (x + 1)] - (1 / 1) = 2, so [1 / (x + 1)] = 3
So x + 1 = (1 / 3), so x = - (2 / 3)



For two non-zero real numbers AB, if a multiplied by B is equal to 1 / b minus 1 / a plus 1, then x ^ 2 + (x + 1)=


Let a = 1, B = X
Then x = 1 / X
So x = 1
x^2+(x+1)=3