1: It is known that the equation x ^ 2 + (K + 2I) x + 2 + ki = 0 has a real root. Find the real root and the value of the real number K 2: Let Z be an imaginary number, ω = Z + 1 / Z be a real number, and - 1 | Math enthusiast | Mathematical art

1: It is known that the equation x ^ 2 + (K + 2I) x + 2 + ki = 0 has a real root. Find the real root and the value of the real number K 2: Let Z be an imaginary number, ω = Z + 1 / Z be a real number, and - 1

3: Given the absolute value of Z - z = 4 / 1-I, Z ^ 2 + Z + 1 / AZ + B = 1 + I, find the value of real numbers a and B
Let z = m + Ni, so the absolute value of Z = root (M + n)
The absolute value of Z-Z = 4 / 1-I
Radical (M + n) - m-ni = 2 + 2I
So n = - 2
Root sign (M + n) - M = 2, M = 0
So z = m + Ni = - 2I
z^2+z+1/az+b=1+i
-4-2i+1/b-2ai=1+i
Similarly, a and B can be obtained

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