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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 1/(x+0.1)+1/(x+0.5) = 1/(x+1) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x +
1
10
) + 1 ÷ ( x +
1
2
) = 1 ÷ ( x + 1)
     Multiply both sides of the equation by:( x +
1
10
) ,  ( x + 1)
     1( x + 1) + 1 ÷ ( x +
1
2
) × ( x +
1
10
)( x + 1) = 1( x +
1
10
)
    Remove a bracket on the left of the equation::
     1 x + 1 × 1 + 1 ÷ ( x +
1
2
) × ( x +
1
10
)( x + 1) = 1( x +
1
10
)
    Remove a bracket on the right of the equation::
     1 x + 1 × 1 + 1 ÷ ( x +
1
2
) × ( x +
1
10
)( x + 1) = 1 x + 1 ×
1
10
    The equation is reduced to :
     1 x + 1 + 1 ÷ ( x +
1
2
) × ( x +
1
10
)( x + 1) = 1 x +
1
10
     Multiply both sides of the equation by:( x +
1
2
)
     1 x ( x +
1
2
) + 1( x +
1
2
) + 1( x +
1
10
)( x + 1) = 1 x ( x +
1
2
) +
1
10
( x +
1
2
)
    Remove a bracket on the left of the equation:
     1 x x + 1 x ×
1
2
+ 1( x +
1
2
) + 1( x +
1
10
)( x + 1) = 1 x ( x +
1
2
) +
1
10
( x +
1
2
)
    Remove a bracket on the right of the equation::
     1 x x + 1 x ×
1
2
+ 1( x +
1
2
) + 1( x +
1
10
)( x + 1) = 1 x x + 1 x ×
1
2
+
1
10
( x +
1
2
)
    The equation is reduced to :
     1 x x +
1
2
x + 1( x +
1
2
) + 1( x +
1
10
)( x + 1) = 1 x x +
1
2
x +
1
10
( x +
1
2
)
    Remove a bracket on the left of the equation:
     1 x x +
1
2
x + 1 x + 1 ×
1
2
+ 1( x +
1
10
)( x + 1) = 1 x x +
1
2
x +
1
10
( x +
1
2
)
    Remove a bracket on the right of the equation::
     1 x x +
1
2
x + 1 x + 1 ×
1
2
+ 1( x +
1
10
)( x + 1) = 1 x x +
1
2
x +
1
10
x +
1
10
×
1
2
    The equation is reduced to :
     1 x x +
1
2
x + 1 x +
1
2
+ 1( x +
1
10
)( x + 1) = 1 x x +
1
2
x +
1
10
x +
1
20
    The equation is reduced to :
     1 x x +
3
2
x +
1
2
+ 1( x +
1
10
)( x + 1) = 1 x x +
3
5
x +
1
20
    Remove a bracket on the left of the equation:
     1 x x +
3
2
x +
1
2
+ 1 x ( x + 1) + 1 ×
1
10
( x + 1) = 1 x x +
3
5
x +
1
20
    The equation is reduced to :
     1 x x +
3
2
x +
1
2
+ 1 x ( x + 1) +
1
10
( x + 1) = 1 x x +
3
5
x +
1
20
    Remove a bracket on the left of the equation:
     1 x x +
3
2
x +
1
2
+ 1 x x + 1 x × 1 = 1 x x +
3
5
x +
1
20
    The equation is reduced to :
     1 x x +
3
2
x +
1
2
+ 1 x x + 1 x +
1
10
= 1 x x +
3
5
x +
1
20
    The equation is reduced to :
     1 x x +
5
2
x +
1
2
+ 1 x x +
1
10
( x + 1) = 1 x x +
3
5
x +
1
20
    Remove a bracket on the left of the equation:
     1 x x +
5
2
x +
1
2
+ 1 x x +
1
10
x +
1
10
= 1 x x +
3
5
x +
1
20
    The equation is reduced to :
     1 x x +
5
2
x +
1
2
+ 1 x x +
1
10
x +
1
10
= 1 x x +
3
5
x +
1
20
    The equation is reduced to :
     1 x x +
13
5
x +
3
5
+ 1 x x = 1 x x +
3
5
x +
1
20

    The solution of the equation:
        x1≈-1.670820 , keep 6 decimal places
        x2≈-0.329180 , 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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