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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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/(115+x)+10000/(143.75+x) = 150 .
    Question type: Equation
    Solution:Original question:
     10000 ÷ (115 + x ) + 10000 ÷ (
575
4
+ x ) = 150
     Multiply both sides of the equation by:(115 + x )
     10000 + 10000 ÷ (
575
4
+ x ) × (115 + x ) = 150(115 + x )
    Remove a bracket on the left of the equation::
     10000 + 10000 ÷ (
575
4
+ x ) × 115 + 10000 ÷ (
575
4
+ x ) × x = 150(115 + x )
    Remove a bracket on the right of the equation::
     10000 + 10000 ÷ (
575
4
+ x ) × 115 + 10000 ÷ (
575
4
+ x ) × x = 150 × 115 + 150 x
    The equation is reduced to :
     10000 + 1150000 ÷ (
575
4
+ x ) + 10000 ÷ (
575
4
+ x ) × x = 17250 + 150 x
     Multiply both sides of the equation by:(
575
4
+ x )
     10000(
575
4
+ x ) + 1150000 + 10000 x = 17250(
575
4
+ x ) + 150 x (
575
4
+ x )
    Remove a bracket on the left of the equation:
     10000 ×
575
4
+ 10000 x + 1150000 + 10000 x = 17250(
575
4
+ x ) + 150 x (
575
4
+ x )
    Remove a bracket on the right of the equation::
     10000 ×
575
4
+ 10000 x + 1150000 + 10000 x = 17250 ×
575
4
+ 17250 x + 150 x (
575
4
+ x )
    The equation is reduced to :
     1437500 + 10000 x + 1150000 + 10000 x =
4959375
2
+ 17250 x + 150 x (
575
4
+ x )
    The equation is reduced to :
     2587500 + 20000 x =
4959375
2
+ 17250 x + 150 x (
575
4
+ x )
    Remove a bracket on the right of the equation::
     2587500 + 20000 x =
4959375
2
+ 17250 x + 150 x ×
575
4
+ 150 x x
    The equation is reduced to :
     2587500 + 20000 x =
4959375
2
+ 17250 x +
43125
2
x + 150 x x
    The equation is reduced to :
     2587500 + 20000 x =
4959375
2
+
77625
2
x + 150 x x

    The solution of the equation:
        x1≈-130.907197 , keep 6 decimal places
        x2≈5.490531 , 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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