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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 0.95(400+400×(1+x)+400(1+x)(1+x)) = 2000 .
    Question type: Equation
    Solution:Original question:
     
19
20
(400 + 400(1 + x ) + 400(1 + x )(1 + x )) = 2000
    Remove the bracket on the left of the equation:
     Left side of the equation =
19
20
× 400 +
19
20
× 400(1 + x ) +
19
20
× 400(1 + x )(1 + x )
                                             = 380 + 380(1 + x ) + 380(1 + x )(1 + x )
                                             = 380 + 380 × 1 + 380 x + 380(1 + x )(1 + x )
                                             = 380 + 380 + 380 x + 380(1 + x )(1 + x )
                                             = 760 + 380 x + 380(1 + x )(1 + x )
                                             = 760 + 380 x + 380 × 1(1 + x ) + 380 x (1 + x )
                                             = 760 + 380 x + 380(1 + x ) + 380 x (1 + x )
                                             = 760 + 380 x + 380 × 1 + 380 x + 380 x (1 + x )
                                             = 760 + 380 x + 380 + 380 x + 380 x (1 + x )
                                             = 1140 + 760 x + 380 x (1 + x )
                                             = 1140 + 760 x + 380 x × 1 + 380 x x
                                             = 1140 + 760 x + 380 x + 380 x x
                                             = 1140 + 1140 x + 380 x x
    The equation is transformed into :
     1140 + 1140 x + 380 x x = 2000

    The solution of the equation:
        x1≈-3.624419 , keep 6 decimal places
        x2≈0.624419 , 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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