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June 27th, 2017, 04:40 AM   #1
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Post Very interesting System



Can you help me get to the solutions of the system and show me the way of working it out?
Good luck.

Last edited by skipjack; June 27th, 2017 at 11:08 AM.
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June 27th, 2017, 11:20 AM   #2
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Substituting y = 28 - x² in the second equation gives x + (28 - x²)² = 14,
which simplifies to (x - 5)(x³ + 5x² - 31x - 154) = 0.
Hence x = 5 or x³ + 5x² - 31x - 154 = 0. The second equation has three real roots, but they aren't integers.
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