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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)+7800/(185.64+x)+10000/(185.64+x) = 150 .
    Question type: Equation
    Solution:Original question:
     10000 ÷ (
3141
25
+ x ) + 7800 ÷ (
4641
25
+ x ) + 10000 ÷ (
4641
25
+ x ) = 150
     Multiply both sides of the equation by:(
3141
25
+ x )
     10000 + 7800 ÷ (
4641
25
+ x ) × (
3141
25
+ x ) + 10000 ÷ (
4641
25
+ x ) × (
3141
25
+ x ) = 150(
3141
25
+ x )
    Remove a bracket on the left of the equation::
     10000 + 7800 ÷ (
4641
25
+ x ) ×
3141
25
+ 7800 ÷ (
4641
25
+ x ) × x + 10000 ÷ (
4641
25
+ x ) × (
3141
25
+ x ) = 150(
3141
25
+ x )
    Remove a bracket on the right of the equation::
     10000 + 7800 ÷ (
4641
25
+ x ) ×
3141
25
+ 7800 ÷ (
4641
25
+ x ) × x + 10000 ÷ (
4641
25
+ x ) × (
3141
25
+ x ) = 150 ×
3141
25
+ 150 x
    The equation is reduced to :
     10000 + 979992 ÷ (
4641
25
+ x ) + 7800 ÷ (
4641
25
+ x ) × x + 10000 ÷ (
4641
25
+ x ) × (
3141
25
+ x ) = 18846 + 150 x
     Multiply both sides of the equation by:(
4641
25
+ x )
     10000(
4641
25
+ x ) + 979992 + 7800 x + 10000(
3141
25
+ x ) = 18846(
4641
25
+ x ) + 150 x (
4641
25
+ x )
    Remove a bracket on the left of the equation:
     10000 ×
4641
25
+ 10000 x + 979992 + 7800 x + 10000(
3141
25
+ x ) = 18846(
4641
25
+ x ) + 150 x (
4641
25
+ x )
    Remove a bracket on the right of the equation::
     10000 ×
4641
25
+ 10000 x + 979992 + 7800 x + 10000(
3141
25
+ x ) = 18846 ×
4641
25
+ 18846 x + 150 x (
4641
25
+ x )
    The equation is reduced to :
     1856400 + 10000 x + 979992 + 7800 x + 10000(
3141
25
+ x ) =
87464286
25
+ 18846 x + 150 x (
4641
25
+ x )
    The equation is reduced to :
     2836392 + 17800 x + 10000(
3141
25
+ x ) =
87464286
25
+ 18846 x + 150 x (
4641
25
+ x )
    Remove a bracket on the left of the equation:
     2836392 + 17800 x + 10000 ×
3141
25
+ 10000 x =
87464286
25
+ 18846 x + 150 x (
4641
25
+ x )
    Remove a bracket on the right of the equation::
     2836392 + 17800 x + 10000 ×
3141
25
+ 10000 x =
87464286
25
+ 18846 x + 150 x ×
4641
25
+ 150 x x
    The equation is reduced to :
     2836392 + 17800 x + 1256400 + 10000 x =
87464286
25
+ 18846 x + 27846 x + 150 x x
    The equation is reduced to :
     4092792 + 27800 x =
87464286
25
+ 46692 x + 150 x x

    The solution of the equation:
        x1≈-152.007659 , keep 6 decimal places
        x2≈26.060992 , 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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