Mathematics
         
语言:中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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 36/(x+2)+0.9 = 0.5+34/(x+1) .
    Question type: Equation
    Solution:Original question:
     36 ÷ ( x + 2) +
9
10
=
1
2
+ 34 ÷ ( x + 1)
     Multiply both sides of the equation by:( x + 2) ,  ( x + 1)
     36( x + 1) +
9
10
( x + 2)( x + 1) =
1
2
( x + 2)( x + 1) + 34( x + 2)
    Remove a bracket on the left of the equation::
     36 x + 36 × 1 +
9
10
( x + 2)( x + 1) =
1
2
( x + 2)( x + 1) + 34( x + 2)
    Remove a bracket on the right of the equation::
     36 x + 36 × 1 +
9
10
( x + 2)( x + 1) =
1
2
x ( x + 1) +
1
2
× 2( x + 1) + 34( x + 2)
    The equation is reduced to :
     36 x + 36 +
9
10
( x + 2)( x + 1) =
1
2
x ( x + 1) + 1( x + 1) + 34( x + 2)
    Remove a bracket on the left of the equation:
     36 x + 36 +
9
10
x ( x + 1) +
9
10
× 2( x + 1) =
1
2
x ( x + 1) + 1( x + 1) + 34( x + 2)
    Remove a bracket on the right of the equation::
     36 x + 36 +
9
10
x ( x + 1) +
9
10
× 2( x + 1) =
1
2
x x +
1
2
x × 1 + 1( x + 1) + 34( x + 2)
    The equation is reduced to :
     36 x + 36 +
9
10
x ( x + 1) +
9
5
( x + 1) =
1
2
x x +
1
2
x + 1( x + 1) + 34( x + 2)
    Remove a bracket on the left of the equation:
     36 x + 36 +
9
10
x x +
9
10
x × 1 +
9
5
( x + 1) =
1
2
x x +
1
2
x + 1( x + 1) + 34( x + 2)
    Remove a bracket on the right of the equation::
     36 x + 36 +
9
10
x x +
9
10
x × 1 +
9
5
( x + 1) =
1
2
x x +
1
2
x + 1 x + 1 × 1 + 34( x + 2)
    The equation is reduced to :
     36 x + 36 +
9
10
x x +
9
10
x +
9
5
( x + 1) =
1
2
x x +
1
2
x + 1 x + 1 + 34( x + 2)
    The equation is reduced to :
     
369
10
x + 36 +
9
10
x x +
9
5
( x + 1) =
1
2
x x +
3
2
x + 1 + 34( x + 2)
    Remove a bracket on the left of the equation:
     
369
10
x + 36 +
9
10
x x +
9
5
x +
9
5
× 1 =
1
2
x x +
3
2
x + 1 + 34( x + 2)
    Remove a bracket on the right of the equation::
     
369
10
x + 36 +
9
10
x x +
9
5
x +
9
5
× 1 =
1
2
x x +
3
2
x + 1 + 34 x + 34 × 2
    The equation is reduced to :
     
369
10
x + 36 +
9
10
x x +
9
5
x +
9
5
=
1
2
x x +
3
2
x + 1 + 34 x + 68
    The equation is reduced to :
     
387
10
x +
189
5
+
9
10
x x =
1
2
x x +
71
2
x + 69

    The solution of the equation:
        x1≈-13.695360 , keep 6 decimal places
        x2≈5.695360 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!