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### High School Mathematics - 22.6 Some Properties of Complex Numbers

 Directions: Answer the following questions. Also write at least 5 examples of your own.
 Q 1: Find x and y in [3/(Ö5 x 5] + i2Ö5y = Ö2Answer: Q 2: Find x and y in (3y-2)+i(7-2x) = 0Answer: Q 3: The conjugate of z1 + z2 given that z1 = 3+i5 and z2 = 6+i8 is ____.9-i13-9-13i9+i13 Q 4: The conjugate of the product of two complex numbers z1 = 3+i7, z2 = 8+i521-i4235-i337-i57 Q 5: Find the conjugate of the number 49-i7.Answer: Q 6: Find x and y in 4x+i(3x-y) = 3-i6Answer: Q 7: Conjugate of conjugate of 3i is ___.3i-3i1/3i Q 8: If z = a+ib, what is the multiplicative inverse?1/a-iba-ib1/a+ib Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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