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Please solve

 

x^3 - 3x + 1 <= 2x^2 + 4 

The "<=" is less than or equal to (idk how to use latex so). Solve this anyway possible and please show me how if you can

 

Thanks

 Aug 12, 2019
 #1
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x^3 - 3x + 1   ≤  2x^2 + 4          subtract  2x^2 + 4 from both sides

 

x^3 - 2x^2 - 3x - 3  ≤  0

 

This would be difficult to solve algebraically....here is a graphical  solution : 

 

https://www.desmos.com/calculator/vep7c7esur

 

The graph shows that the solution is on the interval   (-infinity, ≈ 3.221 ]

 

 

cool cool cool

 Aug 12, 2019

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