SOLUTION: x³ + (x + 2)² - 5x = x⁴ + 11(x + 1) = 37. Find x

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Question 1162874: x³ + (x + 2)² - 5x = x⁴ + 11(x + 1) = 37.
Find x

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
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x³ + (x + 2)² - 5x = x⁴ + 11(x + 1) = 37.
Find x
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The plots below show that the problem in the post HAS NO SOLUTION.






Plot y = x%5E3%2B%28x%2B2%29%5E2-5x (red), y = x%5E4%2B11%28x%2B1%29 (green), y = 37 (blue)