Math Is Fun Forum

xiaozaiz

Member

Registered: 2016-08-08

Posts: 6

complex number problem

Hi, i am having troubles solving the below problem

http://imgur.com/a/Jqf5c

I tried subbing in z=x+iy but i cant seem to remove the sqrt.

Can someone please guide me through solving this problem step-by-step. Thank you!

Last edited by xiaozaiz (2016-08-08 04:32:35)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: complex number problem

Hi;

What is it you are trying to solve?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: complex number problem

Square both sides. Square root will go.

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

xiaozaiz

Member

Registered: 2016-08-08

Posts: 6

Re: complex number problem

Thanks for your fast reply. I am trying to show that x and y satisfy the second equation (given the first equation).

xiaozaiz

Member

Registered: 2016-08-08

Posts: 6

Re: complex number problem

Square both sides. Square root will go.

oh god how can i forget about that. Thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: complex number problem

Using brute force:

Solving for y,

Plugging both of those into this for y proves the assertion.

Welcome to the forum.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: complex number problem

Hi bobbym,
you are right in your own way but for a student I recommend the following.

---

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

xiaozaiz

Member

Registered: 2016-08-08

Posts: 6

Re: complex number problem

thank you guys for the help! I very much prefer completing the sq method suggested by thickhead as it is much easier for a student.