Find the roots of the equation z^2=21-20i

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- Jul 31st 2006, 02:32 AMkingkaisai2Complex number-finding roots
Find the roots of the equation z^2=21-20i

- Jul 31st 2006, 05:30 AMSoroban
Hello, kingkaisai2!

Edit: I corrected my wrong sign below ... Sorry for any confusion it caused.

I don't know what methods you've been taught . . .

Quote:

Find the roots of the equation

Let , where and are real.

We have: .

Then: .**+**

Equate real and imaginary components: .

From (2), we have: .

Substitute into (1): .

Multiply by

Factor: .

We have two equations to solve:

. .

. .

Substitute into (2): .

Therefore: .

- Jul 31st 2006, 12:02 PMQuickQuote:

Originally Posted by**Soroban**