Problems

01

Complex arithmetic

Write each of these expressions in the form .

(a) (b)

Solution

01

(a)

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(b)

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02

Complex solutions of quadratic equations

Find all solutions and write them in the form .

Solution

02

The quadratic formula provides all complex roots, using that :

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03

Complex arithmetic

Write each of these expressions in the form .

(a) (b)

Solution

08

(a)

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(b)

The correct interpretation is and and therefore .

It would not be correct to write .

Each instance of the symbol “” involves making a choice of root. There are possible choices.

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04

Complex solutions of quadratic equations

Find all solutions and write them in the form .

(a) (b)

Solution

09

(a)

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(b)

Link to original