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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 250 = (3500/x)+2(10000/(x+22.4))+(10000/x)+(7500/x) .
    Question type: Equation
    Solution:Original question:
     250 = (3500 ÷ x ) + 2(10000 ÷ ( x +
112
5
)) + (10000 ÷ x ) + (7500 ÷ x )
    Remove a bracket on the right of the equation::
     250 = 3500 ÷ x + 2(10000 ÷ ( x +
112
5
)) + (10000 ÷ x ) + (7500 ÷ x )
     Multiply both sides of the equation by: x
     250 x = 3500 + 2(10000 ÷ ( x +
112
5
)) x + (10000 ÷ x ) x + (7500 ÷ x ) x
    Remove a bracket on the right of the equation::
     250 x = 3500 + 2 × 10000 ÷ ( x +
112
5
) × x + (10000 ÷ x ) x + (7500 ÷ x ) x
    The equation is reduced to :
     250 x = 3500 + 20000 ÷ ( x +
112
5
) × x + (10000 ÷ x ) x + (7500 ÷ x ) x
     Multiply both sides of the equation by:( x +
112
5
)
     250 x ( x +
112
5
) = 3500( x +
112
5
) + 20000 x + (10000 ÷ 1) × 1( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    Remove a bracket on the left of the equation:
     250 x x + 250 x ×
112
5
= 3500( x +
112
5
) + 20000 x + (10000 ÷ 1) × 1( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    Remove a bracket on the right of the equation::
     250 x x + 250 x ×
112
5
= 3500 x + 3500 ×
112
5
+ 20000 x + (10000 ÷ 1) × 1( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    The equation is reduced to :
     250 x x + 5600 x = 3500 x + 78400 + 20000 x + (10000 ÷ 1) × 1( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    The equation is reduced to :
     250 x x + 5600 x = 23500 x + 78400 + (10000 ÷ 1) × 1( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    Remove a bracket on the right of the equation::
     250 x x + 5600 x = 23500 x + 78400 + 10000 ÷ 1 × 1( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    The equation is reduced to :
     250 x x + 5600 x = 23500 x + 78400 + 10000( x +
112
5
) + (7500 ÷ 1) × 1( x +
112
5
)
    Remove a bracket on the right of the equation::
     250 x x + 5600 x = 23500 x + 78400 + 10000 x + 10000 ×
112
5
+ (7500 ÷ 1) × 1( x +
112
5
)
    The equation is reduced to :
     250 x x + 5600 x = 23500 x + 78400 + 10000 x + 224000 + (7500 ÷ 1) × 1( x +
112
5
)
    The equation is reduced to :
     250 x x + 5600 x = 33500 x + 302400 + (7500 ÷ 1) × 1( x +
112
5
)
    Remove a bracket on the right of the equation::
     250 x x + 5600 x = 33500 x + 302400 + 7500 ÷ 1 × 1( x +
112
5
)
    The equation is reduced to :
     250 x x + 5600 x = 33500 x + 302400 + 7500( x +
112
5
)
    Remove a bracket on the right of the equation::
     250 x x + 5600 x = 33500 x + 302400 + 7500 x + 7500 ×
112
5
    The equation is reduced to :
     250 x x + 5600 x = 33500 x + 302400 + 7500 x + 168000
    The equation is reduced to :
     250 x x + 5600 x = 41000 x + 470400

    The solution of the equation:
        x1≈-12.231560 , keep 6 decimal places
        x2≈153.831560 , 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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