Question 869944: Solve the inequality.
2x^2 + 5x + 2≤ 0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the inequality.
2x^2 + 5x + 2≤ 0
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2x^2 + 4x+x + 2 <= 0
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2x(x+2) + (x+2) <= 0
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(x+2)(2x+1) <= 0
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Draw a nnumber line and plot x = -2 and x = -1/2
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Test a value in each of the 3 resulting line intervals::
(x+2)(2x+1) <= 0
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If x = -10 you get -*- <= 0:: false
If x = -1 you get +*- <= 0:: true so, solutions in [-2,-1/2]
If x = 0 you get +*+<= 0:: false
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Ans: [-2,-1/2]
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Cheers,
Stan H.
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