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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÷(104+x)+20000÷(164+x) = 150 .
    Question type: Equation
    Solution:Original question:
     10000 ÷ (104 + x ) + 20000 ÷ (164 + x ) = 150
     Multiply both sides of the equation by:(104 + x )
     10000 + 20000 ÷ (164 + x ) × (104 + x ) = 150(104 + x )
    Remove a bracket on the left of the equation::
     10000 + 20000 ÷ (164 + x ) × 104 + 20000 ÷ (164 + x ) × x = 150(104 + x )
    Remove a bracket on the right of the equation::
     10000 + 20000 ÷ (164 + x ) × 104 + 20000 ÷ (164 + x ) × x = 150 × 104 + 150 x
    The equation is reduced to :
     10000 + 2080000 ÷ (164 + x ) + 20000 ÷ (164 + x ) × x = 15600 + 150 x
     Multiply both sides of the equation by:(164 + x )
     10000(164 + x ) + 2080000 + 20000 x = 15600(164 + x ) + 150 x (164 + x )
    Remove a bracket on the left of the equation:
     10000 × 164 + 10000 x + 2080000 + 20000 x = 15600(164 + x ) + 150 x (164 + x )
    Remove a bracket on the right of the equation::
     10000 × 164 + 10000 x + 2080000 + 20000 x = 15600 × 164 + 15600 x + 150 x (164 + x )
    The equation is reduced to :
     1640000 + 10000 x + 2080000 + 20000 x = 2558400 + 15600 x + 150 x (164 + x )
    The equation is reduced to :
     3720000 + 30000 x = 2558400 + 15600 x + 150 x (164 + x )
    Remove a bracket on the right of the equation::
     3720000 + 30000 x = 2558400 + 15600 x + 150 x × 164 + 150 x x
    The equation is reduced to :
     3720000 + 30000 x = 2558400 + 15600 x + 24600 x + 150 x x
    The equation is reduced to :
     3720000 + 30000 x = 2558400 + 40200 x + 150 x x

    The solution of the equation:
        x1≈-128.339811 , keep 6 decimal places
        x2≈60.339811 , 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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