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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 100-(50/(x+1.25)+50/(1+x)+50/(1+x)) = 0 .
    Question type: Equation
    Solution:Original question:
     100(50 ÷ ( x +
5
4
) + 50 ÷ (1 + x ) + 50 ÷ (1 + x )) = 0
    Remove a bracket on the left of the equation::
     10050 ÷ ( x +
5
4
)50 ÷ (1 + x )50 ÷ (1 + x ) = 0
     Multiply both sides of the equation by:( x +
5
4
)
     100( x +
5
4
)5050 ÷ (1 + x ) × ( x +
5
4
)50 ÷ (1 + x ) × ( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     100 x + 100 ×
5
4
5050 ÷ (1 + x ) × ( x +
5
4
)50 ÷ (1 + x ) × ( x +
5
4
) = 0
    The equation is reduced to :
     100 x + 1255050 ÷ (1 + x ) × ( x +
5
4
)50 ÷ (1 + x ) × ( x +
5
4
) = 0
    The equation is reduced to :
     100 x + 7550 ÷ (1 + x ) × ( x +
5
4
)50 ÷ (1 + x ) × ( x +
5
4
) = 0
     Multiply both sides of the equation by:(1 + x )
     100 x (1 + x ) + 75(1 + x )50( x +
5
4
)50( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     100 x × 1 + 100 x x + 75(1 + x )50( x +
5
4
)50( x +
5
4
) = 0
    The equation is reduced to :
     100 x + 100 x x + 75(1 + x )50( x +
5
4
)50( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     100 x + 100 x x + 75 × 1 + 75 x 50( x +
5
4
)50 = 0
    The equation is reduced to :
     100 x + 100 x x + 75 + 75 x 50( x +
5
4
)50( x +
5
4
) = 0
    The equation is reduced to :
     175 x + 100 x x + 7550( x +
5
4
)50( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     175 x + 100 x x + 7550 x 50 ×
5
4
50( x +
5
4
) = 0
    The equation is reduced to :
     175 x + 100 x x + 7550 x
125
2
50( x +
5
4
) = 0
    The equation is reduced to :
     125 x + 100 x x +
25
2
50( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     125 x + 100 x x +
25
2
50 x 50 ×
5
4
= 0
    The equation is reduced to :
     125 x + 100 x x +
25
2
50 x
125
2
= 0
    The equation is reduced to :
     75 x + 100 x x 50 = 0

    The solution of the equation:
        x1≈-1.175391 , keep 6 decimal places
        x2≈0.425391 , 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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