SOLUTION: 16x^2+1≥−8x

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Question 1119891: 16x^2+1≥−8x
Found 3 solutions by Alan3354, rapture1965, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by rapture1965(18) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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You want to solve an inequality


    16x^2 + 1 >= -8x.


It is equivalent to


    16x^2 + 8x + 1 >= 0.


It is equivalent to


    %284x%2B1%29%5E2 >= 0.


The last inequality is valid for all real values x.


Answer.  The given inequality has the set of solutions ALL REAL NUMBERS.



  


        Plot y = 16x%5E2+%2B+8x+%2B+1

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Be aware :   The solution by  @rapture1965  is   I N C O R R E C T.