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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 (7600/x+10000/(x+22.4)+10000/x) = 150 .
    Question type: Equation
    Solution:Original question:
     (7600 ÷ x + 10000 ÷ ( x +
112
5
) + 10000 ÷ x ) = 150
    Remove a bracket on the left of the equation::
     7600 ÷ x + 10000 ÷ ( x +
112
5
) + 10000 ÷ x = 150
     Multiply both sides of the equation by: x
     7600 + 10000 ÷ ( x +
112
5
) × x + 10000 ÷ 1 × 1 = 150 x
     Multiply both sides of the equation by:( x +
112
5
)
     7600( x +
112
5
) + 10000 x + 10000 ÷ 1 × 1( x +
112
5
) = 150 x ( x +
112
5
)
    Remove a bracket on the left of the equation:
     7600 x + 7600 ×
112
5
+ 10000 x + 10000 ÷ 1 × 1( x +
112
5
) = 150 x ( x +
112
5
)
    Remove a bracket on the right of the equation::
     7600 x + 7600 ×
112
5
+ 10000 x + 10000 ÷ 1 × 1( x +
112
5
) = 150 x x + 150 x ×
112
5
    The equation is reduced to :
     7600 x + 170240 + 10000 x + 10000( x +
112
5
) = 150 x x + 3360 x
    The equation is reduced to :
     17600 x + 170240 + 10000( x +
112
5
) = 150 x x + 3360 x
    Remove a bracket on the left of the equation:
     17600 x + 170240 + 10000 x + 10000 ×
112
5
= 150 x x + 3360 x
    The equation is reduced to :
     17600 x + 170240 + 10000 x + 224000 = 150 x x + 3360 x
    The equation is reduced to :
     27600 x + 394240 = 150 x x + 3360 x

    The solution of the equation:
        x1≈-14.891727 , keep 6 decimal places
        x2≈176.491727 , 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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