Mathematics
语言:中文
Language:English

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 1/10*{1+[1-(1-a)^10]*(186.89*a^2+54.23*a+12.8)/(17*a^2+5*a+2)} <4/3-(1-a)^3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 / 10 * ( 1 + ( 1 - ( 1 - a ) ^ 10 ) * ( 186.89 * a ^ 2 + 54.23 * a + 12.8 ) / ( 17 * a ^ 2 + 5 * a + 2 ) ) <4 / 3 - ( 1 - a ) ^ 3         (1)
        From the definition field of divisor
         17 * x ^ 2 + 5 * x + 2 ≠ 0        (2 )

    From inequality(1):
         a < 0.11331 或  a > 0.293215
    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 inequalities (1) and (2)
         a < 0.11331 或  a > 0.293215    (3)

    The final solution set is :

         a < 0.11331 或  a > 0.293215




Your problem has not been solved here? Please take a look at the  hot problems !


Return