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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 1572.05+27.14x = 160.65+1.785*(20x-50)/x*(x-3) .
    Question type: Equation
    Solution:Original question:
     
31441
20
+
1357
50
x =
3213
20
+
357
200
(20 x 50) ÷ x × ( x 3)
     Multiply both sides of the equation by: x
     
31441
20
x +
1357
50
x x =
3213
20
x +
357
200
(20 x 50)( x 3)
    Remove a bracket on the right of the equation::
     
31441
20
x +
1357
50
x x =
3213
20
x +
357
200
× 20 x ( x 3)
357
200
× 50( x 3)
    The equation is reduced to :
     
31441
20
x +
1357
50
x x =
3213
20
x +
357
10
x ( x 3)
357
4
( x 3)
    Remove a bracket on the right of the equation::
     
31441
20
x +
1357
50
x x =
3213
20
x +
357
10
x x
357
10
x × 3
357
4
( x 3)
    The equation is reduced to :
     
31441
20
x +
1357
50
x x =
3213
20
x +
357
10
x x
1071
10
x
357
4
( x 3)
    The equation is reduced to :
     
31441
20
x +
1357
50
x x =
1071
20
x +
357
10
x x
357
4
( x 3)
    Remove a bracket on the right of the equation::
     
31441
20
x +
1357
50
x x =
1071
20
x +
357
10
x x
357
4
x +
357
4
× 3
    The equation is reduced to :
     
31441
20
x +
1357
50
x x =
1071
20
x +
357
10
x x
357
4
x +
1071
4
    The equation is reduced to :
     
31441
20
x +
1357
50
x x = -
357
10
x +
357
10
x x +
1071
4

    The solution of the equation:
        x1≈0.166685 , keep 6 decimal places
        x2≈187.654577 , 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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