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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 20*(100-0.25x)+0.99*x*10-0.99*x*(100-0.25x)-100*10 = 0 .
    Question type: Equation
    Solution:Original question:
     20(100
1
4
x ) +
99
100
x × 10
99
100
x (100
1
4
x )100 × 10 = 0
     Left side of the equation = 20(100
1
4
x ) +
99
10
x
99
100
x (100
1
4
x )1000
    The equation is transformed into :
     20(100
1
4
x ) +
99
10
x
99
100
x (100
1
4
x )1000 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 20 × 10020 ×
1
4
x +
99
10
x
99
100
x (100
1
4
x )1000
                                             = 20005 x +
99
10
x
99
100
x (100
1
4
x )1000
                                             = 1000 +
49
10
x
99
100
x (100
1
4
x )
                                             = 1000 +
49
10
x
99
100
x × 100 +
99
100
x ×
1
4
x
                                             = 1000 +
49
10
x 99 x +
99
400
x x
                                             = 1000
941
10
x +
99
400
x x
    The equation is transformed into :
     1000
941
10
x +
99
400
x x = 0

    
        x≈10.941891 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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