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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-(46/(x+1.25)+46/(1+x)+46/(1+x)) = 0 .
    Question type: Equation
    Solution:Original question:
     100(46 ÷ ( x +
5
4
) + 46 ÷ (1 + x ) + 46 ÷ (1 + x )) = 0
    Remove a bracket on the left of the equation::
     10046 ÷ ( x +
5
4
)46 ÷ (1 + x )46 ÷ (1 + x ) = 0
     Multiply both sides of the equation by:( x +
5
4
)
     100( x +
5
4
)4646 ÷ (1 + x ) × ( x +
5
4
)46 ÷ (1 + x ) × ( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     100 x + 100 ×
5
4
4646 ÷ (1 + x ) × ( x +
5
4
)46 ÷ (1 + x ) × ( x +
5
4
) = 0
    The equation is reduced to :
     100 x + 1254646 ÷ (1 + x ) × ( x +
5
4
)46 ÷ (1 + x ) × ( x +
5
4
) = 0
    The equation is reduced to :
     100 x + 7946 ÷ (1 + x ) × ( x +
5
4
)46 ÷ (1 + x ) × ( x +
5
4
) = 0
     Multiply both sides of the equation by:(1 + x )
     100 x (1 + x ) + 79(1 + x )46( x +
5
4
)46( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     100 x × 1 + 100 x x + 79(1 + x )46( x +
5
4
)46( x +
5
4
) = 0
    The equation is reduced to :
     100 x + 100 x x + 79(1 + x )46( x +
5
4
)46( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     100 x + 100 x x + 79 × 1 + 79 x 46( x +
5
4
)46 = 0
    The equation is reduced to :
     100 x + 100 x x + 79 + 79 x 46( x +
5
4
)46( x +
5
4
) = 0
    The equation is reduced to :
     179 x + 100 x x + 7946( x +
5
4
)46( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     179 x + 100 x x + 7946 x 46 ×
5
4
46( x +
5
4
) = 0
    The equation is reduced to :
     179 x + 100 x x + 7946 x
115
2
46( x +
5
4
) = 0
    The equation is reduced to :
     133 x + 100 x x +
43
2
46( x +
5
4
) = 0
    Remove a bracket on the left of the equation:
     133 x + 100 x x +
43
2
46 x 46 ×
5
4
= 0
    The equation is reduced to :
     133 x + 100 x x +
43
2
46 x
115
2
= 0
    The equation is reduced to :
     87 x + 100 x x 36 = 0

    The solution of the equation:
        x1≈-1.176097 , keep 6 decimal places
        x2≈0.306097 , 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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