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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 [(50000+40000+10000)x(1+10%)x(1+6%)]/2000 = 58.3 .
    Question type: Equation
    Solution:Original question:
     ((50000 + 40000 + 10000) x (1 +
10
100
) x (1 +
6
100
)) ÷ 2000 =
583
10
    Remove the bracket on the left of the equation:
     Left side of the equation = (50000 + 40000 + 10000) x (1 +
10
100
) x (1 +
6
100
) ×
1
2000
                                             = 50000 x (1 +
10
100
) x (1 +
6
100
) ×
1
2000
+ 40000 x (1 +
10
100
) x (1 +
6
100
) ×
1
2000
                                             = 25 x (1 +
10
100
) x (1 +
6
100
) + 20 x (1 +
10
100
) x (1 +
6
100
) + 5 x
                                             = 25 x × 1 x (1 +
6
100
) + 25 x ×
10
100
x (1 +
6
100
) + 20 x
                                             = 25 x x (1 +
6
100
) +
5
2
x x (1 +
6
100
) + 20 x (1 +
10
100
) x
                                             = 25 x x × 1 + 25 x x ×
6
100
+
5
2
x x (1 +
6
100
)
                                             = 25 x x +
3
2
x x +
5
2
x x (1 +
6
100
) + 20 x
                                             = 25 x x +
3
2
x x +
5
2
x x × 1 +
5
2
x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
                                             = 25 x x +
3
2
x x +
5
2
x x +
3
20
x x
    The equation is transformed into :
     25 x x +
3
2
x x +
5
2
x x +
3
20
x x =
583
10

    After the equation is converted into a general formula, it is converted into:
    ( x + 1 )( x - 1 )=0
    From
        x + 1 = 0
        x - 1 = 0

    it is concluded that::
        x1=-1
        x2=1
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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