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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 1200 = 120/i[1-1/(1+i/2)20]+1000/(1+i/2)20 .
    Question type: Equation
    Solution:Original question:
     1200 = 120 ÷ i × (11 ÷ (1 + i ÷ 2) × 20) + 1000 ÷ (1 + i ÷ 2) × 20
     Multiply both sides of the equation by: i
     1200 i = 120(11 ÷ (1 + i ÷ 2) × 20) + 1000 ÷ (1 + i ÷ 2) × 20 i
    Remove a bracket on the right of the equation::
     1200 i = 120 × 1120 × 1 ÷ (1 + i ÷ 2) × 20 + 1000 ÷ (1 + i ÷ 2) × 20 i
    The equation is reduced to :
     1200 i = 1202400 ÷ (1 + i ÷ 2) + 20000 ÷ (1 + i ÷ 2) × i
     Multiply both sides of the equation by:(1 + i ÷ 2)
     1200 i (1 + i ÷ 2) = 120(1 + i ÷ 2)2400 + 20000 i
    Remove a bracket on the left of the equation:
     1200 i × 1 + 1200 i i ÷ 2 = 120(1 + i ÷ 2)2400 + 20000 i
    Remove a bracket on the right of the equation::
     1200 i × 1 + 1200 i i ÷ 2 = 120 × 1 + 120 i ÷ 22400 + 20000 i
    The equation is reduced to :
     1200 i + 600 i i = 120 + 60 i 2400 + 20000 i
    The equation is reduced to :
     1200 i + 600 i i = - 2280 + 20060 i

    The solution of the equation:
        i1≈0.121359 , keep 6 decimal places
        i2≈31.311974 , 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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