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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 10000(0.25x+1) = x(x+1)(0.01x+1)(0.0025x+1) .
    Question type: Equation
    Solution:Original question:
     10000(
1
4
x + 1) = x ( x + 1)(
1
100
x + 1)(
1
400
x + 1)
    Remove the bracket on the left of the equation:
     Left side of the equation = 10000 ×
1
4
x + 10000 × 1
                                             = 2500 x + 10000
    The equation is transformed into :
     2500 x + 10000 = x ( x + 1)(
1
100
x + 1)(
1
400
x + 1)
    Remove the bracket on the right of the equation:
     Right side of the equation = x x (
1
100
x + 1)(
1
400
x + 1) + x × 1(
1
100
x + 1)(
1
400
x + 1)
                                               = x x ×
1
100
x (
1
400
x + 1) + x x × 1(
1
400
x + 1) + x × 1(
1
100
x + 1)
                                               = x x ×
1
100
x ×
1
400
x + x x ×
1
100
x × 1 + x
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x × 1
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x × 1
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
                                               = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400
    The equation is transformed into :
     2500 x + 10000 = x x ×
1
40000
x x + x x ×
1
100
x + x x ×
1
400

    the solutions is:
        x≈-3.995450 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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