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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 10000/(125.64+x)+20000/(185.64+x) = 150 .
    Question type: Equation
    Solution:Original question:
     10000 ÷ (
3141
25
+ x ) + 20000 ÷ (
4641
25
+ x ) = 150
     Multiply both sides of the equation by:(
3141
25
+ x )
     10000 + 20000 ÷ (
4641
25
+ x ) × (
3141
25
+ x ) = 150(
3141
25
+ x )
    Remove a bracket on the left of the equation::
     10000 + 20000 ÷ (
4641
25
+ x ) ×
3141
25
+ 20000 ÷ (
4641
25
+ x ) × x = 150(
3141
25
+ x )
    Remove a bracket on the right of the equation::
     10000 + 20000 ÷ (
4641
25
+ x ) ×
3141
25
+ 20000 ÷ (
4641
25
+ x ) × x = 150 ×
3141
25
+ 150 x
    The equation is reduced to :
     10000 + 2512800 ÷ (
4641
25
+ x ) + 20000 ÷ (
4641
25
+ x ) × x = 18846 + 150 x
     Multiply both sides of the equation by:(
4641
25
+ x )
     10000(
4641
25
+ x ) + 2512800 + 20000 x = 18846(
4641
25
+ x ) + 150 x (
4641
25
+ x )
    Remove a bracket on the left of the equation:
     10000 ×
4641
25
+ 10000 x + 2512800 + 20000 x = 18846(
4641
25
+ x ) + 150 x (
4641
25
+ x )
    Remove a bracket on the right of the equation::
     10000 ×
4641
25
+ 10000 x + 2512800 + 20000 x = 18846 ×
4641
25
+ 18846 x + 150 x (
4641
25
+ x )
    The equation is reduced to :
     1856400 + 10000 x + 2512800 + 20000 x =
87464286
25
+ 18846 x + 150 x (
4641
25
+ x )
    The equation is reduced to :
     4369200 + 30000 x =
87464286
25
+ 18846 x + 150 x (
4641
25
+ x )
    Remove a bracket on the right of the equation::
     4369200 + 30000 x =
87464286
25
+ 18846 x + 150 x ×
4641
25
+ 150 x x
    The equation is reduced to :
     4369200 + 30000 x =
87464286
25
+ 18846 x + 27846 x + 150 x x
    The equation is reduced to :
     4369200 + 30000 x =
87464286
25
+ 46692 x + 150 x x

    The solution of the equation:
        x1≈-149.979811 , keep 6 decimal places
        x2≈38.699811 , 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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