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Is there a better way to solev this? watch
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Last edited by MCPC247; 30-08-2016 at 00:49.
- 07-11-2015 13:11
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(Original post by MCPC247)
- 07-11-2015 13:42
Find all real numbers x, y and z which satisfy the simultaneous equations x^2 − 4y + 7 = 0, y^2 − 6z + 14 = 0 and z^2 − 2x − 7 = 0.
I got a solution through a really long method, followed by inspection. Is there a nicer way to do it?
Add the three equations together and complete the squares. There is only one solution, which should now be obvious.