Mathematics
         
语言：中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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/x+8000/（x+51.75）+8000/（x+28.75） = 150 .
    Question type: Equation
    Solution:Original question:
     10000 ÷ x + 8000 ÷ ( x +
207
4
) + 8000 ÷ ( x +
115
4
) = 150
     Multiply both sides of the equation by: x
     10000 + 8000 ÷ ( x +
207
4
) × x + 8000 ÷ ( x +
115
4
) × x = 150 x
     Multiply both sides of the equation by:( x +
207
4
)
     10000( x +
207
4
) + 8000 x + 8000 ÷ ( x +
115
4
) × x ( x +
207
4
) = 150 x ( x +
207
4
)
    Remove a bracket on the left of the equation:
     10000 x + 10000 ×
207
4
 + 8000 x + 8000 ÷ ( x +
115
4
) × x ( x +
207
4
) = 150 x ( x +
207
4
)
    Remove a bracket on the right of the equation:：
     10000 x + 10000 ×
207
4
 + 8000 x + 8000 ÷ ( x +
115
4
) × x ( x +
207
4
) = 150 x x + 150 x ×
207
4
    The equation is reduced to :
     10000 x + 517500 + 8000 x + 8000 ÷ ( x +
115
4
) × x ( x +
207
4
) = 150 x x +
15525
2
 x
    The equation is reduced to :
     18000 x + 517500 + 8000 ÷ ( x +
115
4
) × x ( x +
207
4
) = 150 x x +
15525
2
 x
     Multiply both sides of the equation by:( x +
115
4
)
     18000 x ( x +
115
4
) + 517500( x +
115
4
) + 8000 x ( x +
207
4
) = 150 x x ( x +
115
4
) +
15525
2
 x ( x +
115
4
)
    Remove a bracket on the left of the equation:
     18000 x x + 18000 x ×
115
4
 + 517500( x +
115
4
) + 8000 x ( x +
207
4
) = 150 x x ( x +
115
4
) +
15525
2
 x ( x +
115
4
)
    Remove a bracket on the right of the equation:：
     18000 x x + 18000 x ×
115
4
 + 517500( x +
115
4
) + 8000 x ( x +
207
4
) = 150 x x x + 150 x x ×
115
4
 +
15525
2
 x ( x +
115
4
)
    The equation is reduced to :
     18000 x x + 517500 x + 517500( x +
115
4
) + 8000 x ( x +
207
4
) = 150 x x x +
8625
2
 x x +
15525
2
 x ( x +
115
4
)
    Remove a bracket on the left of the equation:
     18000 x x + 517500 x + 517500 x + 517500 ×
115
4
 + 8000 x ( x +
207
4
) = 150 x x x +
8625
2
 x x +
15525
2
 x ( x +
115
4
)
    Remove a bracket on the right of the equation:：
     18000 x x + 517500 x + 517500 x + 517500 ×
115
4
 + 8000 x ( x +
207
4
) = 150 x x x +
8625
2
 x x +
15525
2
 x x +
15525
2
 x
    The equation is reduced to :
     18000 x x + 517500 x + 517500 x + 14878125 + 8000 x ( x +
207
4
) = 150 x x x +
8625
2
 x x +
15525
2
 x x +
1785375
8
 x
    The equation is reduced to :
     18000 x x + 1035000 x + 14878125 + 8000 x ( x +
207
4
) = 150 x x x +
8625
2
 x x +
15525
2
 x x +
1785375
8
 x
    Remove a bracket on the left of the equation:
     18000 x x + 1035000 x + 14878125 + 8000 x x + 8000 x ×
207
4
 = 150 x x x +
8625
2
 x x +
15525
2
 x x +
1785375
8
 x
    The equation is reduced to :
     18000 x x + 1035000 x + 14878125 + 8000 x x + 414000 x = 150 x x x +
8625
2
 x x +
15525
2
 x x +
1785375
8
 x
    The equation is reduced to :
     18000 x x + 1449000 x + 14878125 + 8000 x x = 150 x x x +
8625
2
 x x +
15525
2
 x x +
1785375
8
 x

    The solution of the equation:
        x1≈-43.196356 , keep 6 decimal places
        x2≈-15.185034 , keep 6 decimal places
        x3≈151.214723 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。