Mathematics
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    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality -(128*(14*t-6))/((7*t^2-1)*(7*t^2-6*t+1)^2)-(1792*t)/((7*t^2-1)^2*(7*t^2-6*t+1)) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -( 128 * ( 14 * t - 6 ) ) / ( ( 7 * t ^ 2 - 1 ) * ( 7 * t ^ 2 - 6 * t + 1 ) ^ 2 ) - ( 1792 * t ) / ( ( 7 * t ^ 2 - 1 ) ^ 2 * ( 7 * t ^ 2 - 6 * t + 1 ) ) >0         (1)
        From the definition field of divisor
         ( 7 * x ^ 2 - 1 ) * ( 7 * x ^ 2 - 6 * x + 1 ) ^ 2 ≠ 0        (2 )
        From the definition field of divisor
         ( 7 * x ^ 2 - 1 ) ^ 2 * ( 7 * x ^ 2 - 6 * x + 1 ) ≠ 0        (3 )

    From inequality(1):
         t < -0.191541 或  0.297893 < t < 0.536504
    From inequality(2):
         t < -1/√7 或  -1/√7 < t < 226541/1000000 或  226541/1000000 < t < 1/√7 或  1/√7 < t < 315301/500000 或  t > 315301/500000
    From inequality(3):
         t < -75593/200000 或  -75593/200000 < t < 0.226541 或  0.226541 < t < 94491/250000 或  94491/250000 < t < 0.630602 或  t > 0.630602

    From inequalities (1) and (2)
         t < -1/√7 或  -1/√7 < t < -0.191541 或  t < -1/√7 或 或  0.297893 < t < 1/√7 或  1/√7 < t < 0.536504     (4)
    From inequalities (3) and (4)
         t < -75593/200000 或  -75593/200000 < t < -1/√7 或  -1/√7 < t < -0.191541 或  -75593/200000 < t < -1/√7 或  0.297893 < t < 94491/250000 或  94491/250000 < t < 1/√7 或  1/√7 < t < 0.536504     (5)

    The final solution set is :

         t < -75593/200000 或  -75593/200000 < t < -1/√7 或  -1/√7 < t < -0.191541 或  -75593/200000 < t < -1/√7 或  0.297893 < t < 94491/250000 或  94491/250000 < t < 1/√7 或  1/√7 < t < 0.536504




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