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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 0.05 = 2/((1000+x)/1.633*x)*(1+x)/x-2.5/x .
    Question type: Equation
    Solution:Original question:
     
1
20
= 2 ÷ ((1000 + x ) ÷
1633
1000
× x ) × (1 + x ) ÷ x
5
2
÷ x
     Multiply both sides of the equation by:((1000 + x ) ÷
1633
1000
× x )
     
1
20
((1000 + x ) ÷
1633
1000
× x ) = 2(1 + x ) ÷ x
5
2
÷ x × ((1000 + x ) ÷
1633
1000
× x )
    Remove a bracket on the left of the equation::
     
1
20
(1000 + x ) ÷
1633
1000
× x = 2(1 + x ) ÷ x
5
2
÷ x × ((1000 + x ) ÷
1633
1000
× x )
    Remove a bracket on the right of the equation::
     
1
20
(1000 + x ) ÷
1633
1000
× x = 2 × 1 ÷ x + 2 x ÷ x
5
2
÷ x × ((1000 + x ) ÷
1633
1000
× x )
    The equation is reduced to :
     
50
1633
(1000 + x ) x = 2 ÷ x + 2 x ÷ x
5
2
÷ x × ((1000 + x ) ÷
1633
1000
× x )
     Multiply both sides of the equation by: x
     
50
1633
(1000 + x ) x x = 2 + 2 × 1 ÷ 1 × x
5
2
÷ 1 × ((1000 + x ) ÷
1633
1000
× 1) x
    Remove a bracket on the left of the equation:
     
50
1633
× 1000 x x +
50
1633
x x x = 2 + 2 × 1 ÷ 1 × x
5
2
÷ 1 × ((1000 + x ) ÷
1633
1000
× 1) x
    Remove a bracket on the right of the equation::
     
50
1633
× 1000 x x +
50
1633
x x x = 2 + 2 × 1 ÷ 1 × x
5
2
÷ 1 × (1000 + x ) ÷
1633
1000
× 1 x
    The equation is reduced to :
     
50000
1633
x x +
50
1633
x x x = 2 + 2 x
2500
1633
(1000 + x ) x
    Remove a bracket on the right of the equation::
     
50000
1633
x x +
50
1633
x x x = 2 + 2 x
2500
1633
× 1000 x
2500
1633
x x
    The equation is reduced to :
     
50000
1633
x x +
50
1633
x x x = 2 + 2 x
2500000
1633
x
2500
1633
x x
    The equation is reduced to :
     
50000
1633
x x +
50
1633
x x x = 2
2496734
1633
x
2500
1633
x x

    The solution of the equation:
        x1≈-49.932624 , keep 6 decimal places
        x2≈0.001308 , 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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