SOLUTION: Let z=a+bi. Discuss the values of a and b so that the following will be true: z(i) is a positive real number and z(3-i) is a pure imaginary number.

SOLUTION: Let z=a+bi. Discuss the values of a and b so that the following will be true: z(i) is a positive real number and z(3-i) is a pure imaginary number.

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Question 1115020: Let z=a+bi. Discuss the values of a and b so that the following will be true:
z(i) is a positive real number and z(3-i) is a pure imaginary number.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

For this to be real and positive,

.
.
.

For this to be imaginary,

and

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