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 0.5*((5-k)-sqrt((k-3)*(k-3)+20)) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        0.5 * ( ( 5 - k ) - sqrt ( ( k - 3 ) * ( k - 3 ) + 20 ) ) >0         (1)
        From the definition field of √
         ( x - 3 ) * ( x - 3 ) + 20 ≥ 0        (2 )

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

    From inequalities (1) and (2)
         k < -1    (3)

    The final solution set is :

         k < -1




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