Question

How many solutions does 9 - 5i = 8 - 3i -1 - 2i have?

A. No solutions

B. Two solutions

C. Infinitely many solutions

D. One solution

Answer 1

A. No solutions

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First, we simplify the right hand side (RHS) of the equation:

• 8 - 3i - 1 - 2i = 7 - 5i

So the equation now becomes:

• 9 - 5i = 7 - 5i

The imaginary parts on both sides are equal (-5i) and can be subtracted out, leaving us with 9 = 7.

However, this is not true, therefore the given equation has no solutions. This is option A.