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 -(5*k+6)-sqrt((6+5*k)^2-36+20k) <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -( 5 * k + 6 ) - sqrt ( ( 6 + 5 * k ) ^ 2 - 36 + 20 * k ) <0         (1)
        From the definition field of √
         ( 6 + 5 * x ) ^ 2 - 36 + 20 * x ≥ 0        (2 )

    From inequality(1):
         k ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         k ≤ -16/5 或  k ≥ 0

    From inequalities (1) and (2)
         k ≤ -16/5 或  k ≥ 0    (3)

    The final solution set is :

         k ≤ -16/5 或  k ≥ 0




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