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July 6th, 2012, 04:52 AM   #1
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Arithmetic Progression

Can anyone solve this, I have the exam in about 2 and half hours... so please if any one know how to solve it do it ASAP

Translated request: "Find arithmetic progression, if:"
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July 6th, 2012, 06:19 AM   #2
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Re: [A.S.A.P] Arithmetic Progression

The hardest part here is keeping the algebra under control.
Let .

Then

Expanding,

Substituting the first into the second,
Notice that I've put the square root by itself on one side, so as to simplify the next step.
Square both sides and rearrange to get
Solving the quadratic in dē, you get .
Hence and all the terms can now be found.

Two more solutions can be made by flipping the signs of c and d simultaneously.
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July 6th, 2012, 06:29 AM   #3
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Re: [A.S.A.P] Arithmetic Progression










Given:



Or,

Or,





Or,

Or,

Or,

Or,

Or,

Or, where

Or,

Can you solve the rest now?

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July 6th, 2012, 06:38 AM   #4
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Re: Arithmetic Progression

I think there are 4 solutions. Please verify if all of them are valid.

The ordered pairs of values of are:









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