Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality (-4(0.466*300+h)-sqrt(16(0.466*300+h)^2+4((-300+0.6)^2+4(0.466*300+h)*(300+h))))/2 ≥-150*sqrt(3) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -4 * ( 0.466 * 300 + h ) - sqrt ( 16 * ( 0.466 * 300 + h ) ^ 2 + 4 * ( ( -300 + 0.6 ) ^ 2 + 4 * ( 0.466 * 300 + h ) * ( 300 + h ) ) ) ) / 2 ≥ -150 * sqrt ( 3 )         (1)
        From the definition field of √
         16 * ( 0.466 * 300 + x ) ^ 2 + 4 * ( ( -300 + 0.6 ) ^ 2 + 4 * ( 0.466 * 300 + x ) * ( 300 + x ) ) ≥ 0        (2 )

    From inequality(1):
         h ≤ -153.420231
    From inequality(2):
         h ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         h ≤ -153.420231    (3)

    The final solution set is :

         h ≤ -153.420231




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