Question

The graph represents the complex numbers z1 and z2 . What are their conjugates? What is the quotient of z1 ÷ z2?​

Answer 1

Answer:

• z1* = 7-2i

• z2* = -3+i

• z1*/z2* = -2.3 -0.1i

Step-by-step explanation:

The conjugate is the same number with the imaginary part negated. The conjugate of 7+2i is 7-2i; the conjugate of -3-i is -3+i.

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The ratio of the conjugates is ...

z1*/z2* = (7-2i)/(-3+i) = (7-2i)(-3-i)/((-3+i)(-3-i)) = (-21+6i-7i-2)/((-3)^2-(i)^2)

= (-23 -i)/10

= -2.3-0.1i