perplexus.info :: Just Math : Easy KISS problem

Easy KISS problem (Posted on 2023-08-04)

x+y=i
x*y=42

List all possible solutions of the above equation, where i=sqrt(-1).

You need neither pen nor paper.

No Solution Yet Submitted by Ady TZIDON

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Puzzle Solution_Method 2

| Comment 2 of 4 |

Let y=-p

Then, we have, xp=-42, x-p=i

Of course, we know that:6*7=42. Then, 6i*7i==42(-1)=-42

Therefore, (x,p)= (7i, 6i), (-6i, -7i)

=> (x,y) = (7i, -6i), (-6i, 7i)

Edited on August 5, 2023, 3:36 am

Posted by K Sengupta on 2023-08-04 08:06:32

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