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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 (0.6-x)*8.314*523*(0.5-x)/(0.2+x)*200 = 27 .
    Question type: Equation
    Solution:Original question:
     (
3
5
x ) ×
4157
500
× 523(
1
2
x ) ÷ (
1
5
+ x ) × 200 = 27
     Multiply both sides of the equation by:(
1
5
+ x )
     (
3
5
x ) ×
4157
500
× 523(
1
2
x ) × 200 = 27(
1
5
+ x )
    Remove a bracket on the left of the equation::
     
3
5
×
4157
500
× 523(
1
2
x ) × 200 x ×
4157
500
× 523(
1
2
x ) × 200 = 27(
1
5
+ x )
    Remove a bracket on the right of the equation::
     
3
5
×
4157
500
× 523(
1
2
x ) × 200 x ×
4157
500
× 523(
1
2
x ) × 200 = 27 ×
1
5
+ 27 x
    The equation is reduced to :
     
13044666
25
(
1
2
x ) x ×
4348222
5
(
1
2
x ) =
27
5
+ 27 x
    Remove a bracket on the left of the equation:
     
13044666
25
×
1
2
13044666
25
x x ×
4348222
5
(
1
2
x ) =
27
5
+ 27 x
    The equation is reduced to :
     
6522333
25
13044666
25
x x ×
4348222
5
(
1
2
x ) =
27
5
+ 27 x
    Remove a bracket on the left of the equation:
     
6522333
25
13044666
25
x x ×
4348222
5
×
1
2
+ x ×
4348222
5
x =
27
5
+ 27 x
    The equation is reduced to :
     
6522333
25
13044666
25
x x ×
2174111
5
+ x ×
4348222
5
x =
27
5
+ 27 x
    The equation is reduced to :
     
6522333
25
23915221
25
x + x ×
4348222
5
x =
27
5
+ 27 x

    The solution of the equation:
        x1≈0.499783 , keep 6 decimal places
        x2≈0.600248 , 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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