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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 x/(1+x/100)-x/(1+x*1.15/100) = 300 .
    Question type: Equation
    Solution:Original question:
      x ÷ (1 + x ÷ 100) x ÷ (1 + x ×
23
20
÷ 100) = 300
     Multiply both sides of the equation by:(1 + x ÷ 100)
      x x ÷ (1 + x ×
23
20
÷ 100) × (1 + x ÷ 100) = 300(1 + x ÷ 100)
    Remove a bracket on the left of the equation::
      x x ÷ (1 + x ×
23
20
÷ 100) × 1 x ÷ (1 + x ×
23
20
÷ 100) × x ÷ 100 = 300(1 + x ÷ 100)
    Remove a bracket on the right of the equation::
      x x ÷ (1 + x ×
23
20
÷ 100) × 1 x ÷ (1 + x ×
23
20
÷ 100) × x ÷ 100 = 300 × 1 + 300 x ÷ 100
    The equation is reduced to :
      x x ÷ (1 + x ×
23
20
÷ 100) × 1 x ÷ (1 + x ×
23
20
÷ 100) × x ×
1
100
= 300 + 3 x
     Multiply both sides of the equation by:(1 + x ×
23
20
÷ 100)
      x (1 + x ×
23
20
÷ 100) x × 1 x x ×
1
100
= 300(1 + x ×
23
20
÷ 100) + 3 x (1 + x ×
23
20
÷ 100)
    Remove a bracket on the left of the equation:
      x × 1 + x x ×
23
20
÷ 100 x × 1 x x ×
1
100
= 300(1 + x ×
23
20
÷ 100) + 3 x (1 + x ×
23
20
÷ 100)
    Remove a bracket on the right of the equation::
      x × 1 + x x ×
23
20
÷ 100 x × 1 x x ×
1
100
= 300 × 1 + 300 x ×
23
20
÷ 100 + 3 x (1 + x ×
23
20
÷ 100)
    The equation is reduced to :
      x × 1 + x x ×
23
2000
x × 1 x x ×
1
100
= 300 +
69
20
x + 3 x (1 + x ×
23
20
÷ 100)
    The equation is reduced to :
     0 x + x x ×
23
2000
x x ×
1
100
= 300 +
69
20
x + 3 x (1 + x ×
23
20
÷ 100)
    Remove a bracket on the right of the equation::
      x x ×
23
2000
x x ×
1
100
= 300 +
69
20
x + 3 x × 1 + 3 x x ×
23
20
÷ 100
    The equation is reduced to :
      x x ×
23
2000
x x ×
1
100
= 300 +
69
20
x + 3 x +
69
2000
x x
    The equation is reduced to :
      x x ×
23
2000
x x ×
1
100
= 300 +
129
20
x +
69
2000
x x

    The solution of the equation:
        x1≈-119.168139 , keep 6 decimal places
        x2≈-86.956522 , keep 6 decimal places
        x3≈-76.286407 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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