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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 (195*a^2+63*a+18)/(19*a^2+6*a+3) <(593*a^2+208*a+59)/(57*a^2+18*a+9) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 195 * a ^ 2 + 63 * a + 18 ) / ( 19 * a ^ 2 + 6 * a + 3 ) < ( 593 * a ^ 2 + 208 * a + 59 ) / ( 57 * a ^ 2 + 18 * a + 9 )         (1)
        From the definition field of divisor
         19 * x ^ 2 + 6 * x + 3 ≠ 0        (2 )
        From the definition field of divisor
         57 * x ^ 2 + 18 * x + 9 ≠ 0        (3 )

    From inequality(1):
         a < -2.07359 或  a > -0.30141
    From inequality(2):
         a ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(3):
         a ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    From inequalities (1) and (2)
         a < -2.07359 或  a > -0.30141    (4)
    From inequalities (3) and (4)
         a < -2.07359 或  a > -0.30141    (5)

    The final solution set is :

         a < -2.07359 或  a > -0.30141




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