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43 votes
43 votes
Solve for ż in the following equation: 1 - iz=-1 +iz (where i? = -1). Simplify your answer as much as possible.​

User Eric Wanchic
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1 Answer

11 votes
11 votes

Answer:

z = -i

Explanation:

1 - iz=-1 +iz

Add iz to each side

1 - iz+iz=-1 +iz+iz

1 = -1 +2iz

Add 1 to each side

1+1 = -1+1 +2iz

2 = 2iz

Divide by 2

2/2 = 2iz/2

1 =iz

Divide by i

1/i = iz/i

1/i =z

Multiply the left by i/i

i/i^2 = z

i/-1 =z

-i =z

User Markus Hay
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