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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+11.88)+6700/x+10000/x) = 150 .
    Question type: Equation
    Solution:Original question:
     (7600 ÷ ( x +
297
25
) + 6700 ÷ x + 10000 ÷ x ) = 150
    Remove a bracket on the left of the equation::
     7600 ÷ ( x +
297
25
) + 6700 ÷ x + 10000 ÷ x = 150
     Multiply both sides of the equation by:( x +
297
25
)
     7600 + 6700 ÷ x × ( x +
297
25
) + 10000 ÷ x × ( x +
297
25
) = 150( x +
297
25
)
    Remove a bracket on the left of the equation:
     7600 + 6700 ÷ x × x + 6700 ÷ x ×
297
25
+ 10000 ÷ x × ( x +
297
25
) = 150( x +
297
25
)
    Remove a bracket on the right of the equation::
     7600 + 6700 ÷ x × x + 6700 ÷ x ×
297
25
+ 10000 ÷ x × ( x +
297
25
) = 150 x + 150 ×
297
25
    The equation is reduced to :
     7600 + 6700 ÷ x × x + 79596 ÷ x + 10000 ÷ x × ( x +
297
25
) = 150 x + 1782
     Multiply both sides of the equation by: x
     7600 x + 6700 ÷ 1 × 1 x + 79596 + 10000 ÷ 1 × ( x +
297
25
) × 1 = 150 x x + 1782 x
    Remove a bracket on the left of the equation:
     7600 x + 6700 ÷ 1 × 1 x + 79596 + 10000 ÷ 1 × x × 1 + 10000 = 150 x x + 1782 x
    The equation is reduced to :
     7600 x + 6700 x + 79596 + 10000 x + 118800 = 150 x x + 1782 x
    The equation is reduced to :
     24300 x + 198396 = 150 x x + 1782 x

    The solution of the equation:
        x1≈-8.346496 , keep 6 decimal places
        x2≈158.466496 , 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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