- If satisfies show that

- Conversely, if x and y satisfy , then show that satisfies .

Not a clue how to do this, nothing seems to work.:o

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- October 28th 2007, 03:14 PMThomas154321Complex numbers
- If satisfies show that

- Conversely, if x and y satisfy , then show that satisfies .

Not a clue how to do this, nothing seems to work.:o - If satisfies show that
- October 28th 2007, 04:00 PMPlato
These may help you. You can square both sides.

- October 28th 2007, 07:51 PMSoroban
Hello, Thomas!

Another approach . . .

Quote:

If satisfies

show that: .

is the distance from to the point (-4,0).

If the sum of the distances to two fixed points is a constant,

. . the locus of is an*ellipse*, whose equation can be derived

. . with the Distance Formula (and a__lot__of algebra).

- October 29th 2007, 12:20 AMThomas154321
Thanks. I can do (1) by taking to be and the same for the other. However I'm having trouble doing the opposite, starting with the ellipse eqn and finding that ...:(