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    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 0.137(R/19.28)-3+0.119(R/19.28)-2+0.269(R/19.28)-1 = 0.453 .
    Question type: Equation
    Solution:Original question:
     
137
1000
( R ÷
482
25
)3 +
119
1000
( R ÷
482
25
)2 +
269
1000
( R ÷
482
25
)1 =
453
1000
     Left side of the equation =
137
1000
( R ÷
482
25
)6 +
119
1000
( R ÷
482
25
) +
269
1000
( R ÷
482
25
)
    The equation is transformed into :
     
137
1000
( R ÷
482
25
)6 +
119
1000
( R ÷
482
25
) +
269
1000
( R ÷
482
25
) =
453
1000
    Remove the bracket on the left of the equation:
     Left side of the equation =
137
1000
R ÷
482
25
6 +
119
1000
( R ÷
482
25
) +
269
1000
( R ÷
482
25
)
                                             =
137
19280
R 6 +
119
1000
( R ÷
482
25
) +
269
1000
( R ÷
482
25
)
                                             =
137
19280
R 6 +
119
1000
R ÷
482
25
+
269
1000
( R ÷
482
25
)
                                             =
137
19280
R 6 +
119
19280
R +
269
1000
( R ÷
482
25
)
                                             =
16
1205
R 6 +
269
1000
( R ÷
482
25
)
                                             =
16
1205
R 6 +
269
1000
R ÷
482
25
                                             =
16
1205
R 6 +
269
19280
R
                                             =
25305
929296
R 6
    The equation is transformed into :
     
25305
929296
R 6 =
453
1000

    Transposition :
     
25305
929296
R =
453
1000
+ 6

    Combine the items on the right of the equation:
     
25305
929296
R =
6453
1000

    The coefficient of the unknown number is reduced to 1 :
      R =
6453
1000
÷
25305
929296
        =
6453
1000
×
929296
25305
        =
2151
125
×
116162
8435

    We obtained :
      R =
249864462
1054375
    This is the solution of the equation.

    By reducing fraction, we can get:
      R =
1036782
4375

    Convert the result to decimal form :
      R = 236.978743



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