Mathematics
         
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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 800(1+2x/100)(1+x/100) = 1740 .
    Question type: Equation
    Solution:Original question:
     800(1 + 2 x ÷ 100)(1 + x ÷ 100) = 1740
    Remove the bracket on the left of the equation:
     Left side of the equation = 800 × 1(1 + x ÷ 100) + 800 × 2 x ÷ 100 × (1 + x ÷ 100)
                                             = 800(1 + x ÷ 100) + 16 x (1 + x ÷ 100)
                                             = 800 × 1 + 800 x ÷ 100 + 16 x (1 + x ÷ 100)
                                             = 800 + 8 x + 16 x (1 + x ÷ 100)
                                             = 800 + 8 x + 16 x × 1 + 16 x x ÷ 100
                                             = 800 + 8 x + 16 x +
4
25
x x
                                             = 800 + 24 x +
4
25
x x
    The equation is transformed into :
     800 + 24 x +
4
25
x x = 1740

    The solution of the equation:
        x1≈-182.238053 , keep 6 decimal places
        x2≈32.238053 , 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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