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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 (0.1+x)*x*(8.314*823) = (0.7-x)*200*27.2 .
    Question type: Equation
    Solution:Original question:
     (
1
10
+ x ) x (
4157
500
× 823) = (
7
10
x ) × 200 ×
136
5
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
10
x (
4157
500
× 823) + x x (
4157
500
× 823)
                                             =
1
10
x ×
4157
500
× 823 + x x (
4157
500
× 823)
                                             =
3421211
5000
x + x x (
4157
500
× 823)
                                             =
3421211
5000
x + x x ×
4157
500
× 823
                                             =
3421211
5000
x + x x ×
3421211
500
    The equation is transformed into :
     
3421211
5000
x + x x ×
3421211
500
= (
7
10
x ) × 200 ×
136
5
     Right side of the equation = (
7
10
x ) × 5440
    The equation is transformed into :
     
3421211
5000
x + x x ×
3421211
500
= (
7
10
x ) × 5440
    Remove the bracket on the right of the equation:
     Right side of the equation =
7
10
× 5440 x × 5440
                                               = 3808 x × 5440
    The equation is transformed into :
     
3421211
5000
x + x x ×
3421211
500
= 38085440 x

    The solution of the equation:
        x1≈-1.317464 , keep 6 decimal places
        x2≈0.422424 , 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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