Solution 3.1:4d

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In the equation, z occurs only as and, to begin with, we can therefore treatas unknown.
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 +
Divide both sides by 2+i,
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 +
EQ1
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and calculate the quotient on the right-hand side by multiplying top and bottom by the complex conjugate of the numerator:
 +
 
 +
EQ2
 +
 
 +
This means that .
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 +
We check that satisfies the original equation:
 +
 
 +
EQ3
 +
 
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Revision as of 10:52, 23 September 2008

In the equation, z occurs only as and, to begin with, we can therefore treatas unknown.

Divide both sides by 2+i,

EQ1

and calculate the quotient on the right-hand side by multiplying top and bottom by the complex conjugate of the numerator:

EQ2

This means that .

We check that satisfies the original equation:

EQ3

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