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 X/1000+10/102+（78-X）/45.2+5/44.8 = 0.566 .
    Question type: Equation
    Solution:Original question:
      X ÷ 1000 + 10 ÷ 102 + (78 − X ) ÷
226
5
 + 5 ÷
224
5
 =
283
500
     Left side of the equation = X ×
1
1000
 +
5
51
 + (78 − X ) ×
5
226
 +
25
224
                                             =
1
1000
 X +
2395
11424
 + (78 − X ) ×
5
226
    The equation is transformed into :
     
1
1000
 X +
2395
11424
 + (78 − X ) ×
5
226
 =
283
500
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
1000
 X +
2395
11424
 + 78 ×
5
226
 − X ×
5
226
                                             =
1
1000
 X +
2395
11424
 +
195
113
 − X ×
5
226
                                             = -
2387
113000
 X +
2498315
1290912
    The equation is transformed into :
      -
2387
113000
 X +
2498315
1290912
 =
283
500

    Transposition :
      -
2387
113000
 X =
283
500
 −
2498315
1290912

    Combine the items on the right of the equation:
      -
2387
113000
 X = -
220957351
161364000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
220957351
161364000
 =
2387
113000
 X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
2387
113000
 X =
220957351
161364000

    The coefficient of the unknown number is reduced to 1 :
      X =
220957351
161364000
 ÷
2387
113000
        =
220957351
161364000
 ×
113000
2387
        =
220957351
161364
 ×
113
2387

    We obtained :
      X =
24968180663
385175868
    This is the solution of the equation.



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


Return



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