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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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

[ 1/1 Equation]
    Work: Find the solution of equation (40-25-a)[400*(1+0.25)*5a] = 4250 .
    Question type: Equation
    Solution:Original question:
     (4025 a )(400(1 +
1
4
) × 5 a ) = 4250
    Remove the bracket on the left of the equation:
     Left side of the equation = 40(400(1 +
1
4
) × 5 a )25(400(1 +
1
4
) × 5 a ) a (400(1 +
1
4
) × 5 a )
                                             = 40 × 400(1 +
1
4
) × 5 a 25(400(1 +
1
4
) × 5 a ) a (400(1 +
1
4
) × 5 a )
                                             = 80000(1 +
1
4
) a 25(400(1 +
1
4
) × 5 a ) a (400(1 +
1
4
) × 5 a )
                                             = 80000 × 1 a + 80000 ×
1
4
a 25(400(1 +
1
4
) × 5 a ) a (400(1 +
1
4
) × 5 a )
                                             = 80000 a + 20000 a 25(400(1 +
1
4
) × 5 a ) a (400(1 +
1
4
) × 5 a )
                                             = 100000 a 25(400(1 +
1
4
) × 5 a ) a (400(1 +
1
4
) × 5 a )
                                             = 100000 a 25 × 400(1 +
1
4
) × 5 a a (400(1 +
1
4
) × 5 a )
                                             = 100000 a 50000(1 +
1
4
) a a (400(1 +
1
4
) × 5 a )
                                             = 100000 a 50000 × 1 a 50000 ×
1
4
a a (400(1 +
1
4
) × 5 a )
                                             = 100000 a 50000 a 12500 a a (400(1 +
1
4
) × 5 a )
                                             = 37500 a a (400(1 +
1
4
) × 5 a )
                                             = 37500 a a × 400(1 +
1
4
) × 5 a
                                             = 37500 a a × 2000(1 +
1
4
) a
                                             = 37500 a a × 2000 × 1 a a × 2000 ×
1
4
a
                                             = 37500 a a × 2000 a a × 500 a
    The equation is transformed into :
     37500 a a × 2000 a a × 500 a = 4250

    The solution of the equation:
        a1≈0.114203 , keep 6 decimal places
        a2≈14.885797 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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