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 42.9x = (17x1.35+2*1.16*6.1-17x0.74-2*6.1*0.86)*x/(2)*x/(3) .
    Question type: Equation
    Solution:Original question:
     
429
10
x = (17 x ×
27
20
+ 2 ×
29
25
×
61
10
17 x ×
37
50
2 ×
61
10
×
43
50
) x ÷ (2) × x ÷ (3)
     Multiply both sides of the equation by:(2)
     
429
10
x (2) = (17 x ×
27
20
+ 2 ×
29
25
×
61
10
17 x ×
37
50
2 ×
61
10
×
43
50
) x x ÷ (3)
    Remove a bracket on the left of the equation::
     
429
10
x × 2 = (17 x ×
27
20
+ 2 ×
29
25
×
61
10
17 x ×
37
50
2 ×
61
10
×
43
50
) x x ÷ (3)
    Remove a bracket on the right of the equation::
     
429
10
x × 2 = 17 x ×
27
20
x x ÷ (3) + 2 ×
29
25
×
61
10
x x ÷ (3)
    The equation is reduced to :
     
429
5
x =
459
20
x x x ÷ (3) +
1769
125
x x ÷ (3)
629
50
x x
     Multiply both sides of the equation by:(3)
     
429
5
x (3) =
459
20
x x x +
1769
125
x x ÷ (3) × (3)
629
50
x x
    Remove a bracket on the left of the equation:
     
429
5
x × 3 =
459
20
x x x +
1769
125
x x ÷ (3) × (3)
629
50
x x
    Remove a bracket on the right of the equation::
     
429
5
x × 3 =
459
20
x x x +
1769
125
x x ÷ (3) × 3
629
50
x x
    The equation is reduced to :
     
1287
5
x =
459
20
x x x +
5307
125
x x ÷ (3)
629
50
x x x
     Multiply both sides of the equation by:(3)
     
1287
5
x (3) =
459
20
x x x (3) +
5307
125
x x
629
50
x x x
    Remove a bracket on the left of the equation:
     
1287
5
x × 3 =
459
20
x x x (3) +
5307
125
x x
629
50
x x x
    Remove a bracket on the right of the equation::
     
1287
5
x × 3 =
459
20
x x x × 3 +
5307
125
x x
629
50
x x x
    The equation is reduced to :
     
3861
5
x =
1377
20
x x x +
5307
125
x x
629
50
x x x ÷ (3)
     Multiply both sides of the equation by:(3)
     
3861
5
x (3) =
1377
20
x x x (3) +
5307
125
x x (3)
629
50
x x
    Remove a bracket on the left of the equation:
     
3861
5
x × 3 =
1377
20
x x x (3) +
5307
125
x x (3)
629
50
x x
    Remove a bracket on the right of the equation::
     
3861
5
x × 3 =
1377
20
x x x × 3 +
5307
125
x x (3)
629
50
x x
    The equation is reduced to :
     
11583
5
x =
4131
20
x x x +
5307
125
x x (3)
629
50
x x x
     Multiply both sides of the equation by:(3)
     
11583
5
x (3) =
4131
20
x x x (3) +
5307
125
x x (3)(3)
629
50
x
    Remove a bracket on the left of the equation:
     
11583
5
x × 3 =
4131
20
x x x (3) +
5307
125
x x (3)(3)
629
50
x
    Remove a bracket on the right of the equation::
     
11583
5
x × 3 =
4131
20
x x x × 3 +
5307
125
x x (3)(3)
629
50
x
    The equation is reduced to :
     
34749
5
x =
12393
20
x x x +
5307
125
x x (3)(3)
629
50
x x

    the solutions is:
        x≈0.329883 , keep 6 decimal places
    
    There are 1 solution(s).


解方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!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。