Given that the complex Z satisfies the equation z2-2z + 3 = 0, then | Z|=______ ． | Math enthusiast | Mathematical art

Given that the complex Z satisfies the equation z2-2z + 3 = 0, then | Z|=______ ．

∵ complex Z satisfies the equation z2-2z + 3 = 0, ∵ z = 2 ± 22i2 = 1 ± 2I | Z | = 1 & nbsp; 2 + (± 2) & nbsp; & nbsp; 2 = 3

RELATED INFORMATIONS

1. To solve the equation Z ^ 2 + 2Z + 1-I = 0 in the complex range
2. On the equation Z2 - (a + I) Z - (I + 2) = 0 (a ∈ R) of complex number Z, (1) if the equation has a real number solution, find the value of a; (2) prove with the method of counter proof that for any real number a, the original equation cannot have pure imaginary root
3. The complex Z satisfying the equation Z2 + | Z | = 0 has () A. 1 B. 2 C. 3 d. countless
4. Solve the complex equation Z ^ 3 = I,
5. Let f (z) = x ^ 2 + I * y ^ 2, then f '(1 + I) = result is 2. How to do it? Another problem is in the complex range, the number of roots of the equation Z ^ 3 + | Z | = 0? Let f (z) = x ^ 2 + I * y ^ 2, then f '(1 + I) = the result is 2. How do you do that? Another problem is that in the complex range, how many roots of the equation Z ^ 3 + | Z | = 0? The answer to the second question is four roots. I'm very tangled
6. In the complex range, the solution of the equation x ^ 2 + x-1-3i = 0 is?
7. In the complex set C, the solution of the equation | x | + x = 1 + 3I is
8. Solving complex equation: Z │ Z │ + AZ + I = 0 (a > = 0)
9. The complex Z satisfying the equation Z2 + | Z | = 0 has () A. 1 B. 2 C. 3 d. countless
10. There are several roots of the equation 1-z Λ 4 = 0 in the complex range
11. Given that the complex Z satisfies 3Z + | Z | = 17-9i, find the complex Z
12. If complex x0 = 3 + 2I and Z * Z0 = 3Z + Z0, then complex Z=
13. Given the complex Z0 = 3 + 2I, the complex Z satisfies Z + Z0 = 3Z + Z0=
14. Given the complex Z. = 3 + 2I, the complex Z satisfies Z. * z = 3Z + Z. then the complex Z is equal to?
15. If Z ^ 3 = 1, then Z ^ 3 + 2Z ^ 2 + 2Z + 20 =?
16. The imaginary part of the complex Z is not 0. And Z ^ 3 + Z + 1 = 07? I'm sorry to repeat the title: the imaginary part of the complex Z is not zero, and the cubic power of Z + Z + 1 = 0, how to find the value range of | Z |?
17. arg（1+i）=?
18. Given Arg (- 1 + 2I) = α, find sin (2 α + 2 π / 3)
19. Arg (2I) = π why shouldn't it be = Arg (2)? The original problem is to find the expansion rate and rotation angle of W = Z ^ 2
20. Given Arg (- 2 + I) = a, Arg (- 1-3i) = B, find a + B