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Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation [2000(1+X)-1000](1+X) = 1071.25 .
    Question type: Equation
    Solution:Original question:
     (2000(1 + X )1000)(1 + X ) =
4285
4
    Remove the bracket on the left of the equation:
     Left side of the equation = 2000(1 + X )(1 + X )1000(1 + X )
                                             = 2000 × 1(1 + X ) + 2000 X (1 + X )1000(1 + X )
                                             = 2000(1 + X ) + 2000 X (1 + X )1000(1 + X )
                                             = 2000 × 1 + 2000 X + 2000 X (1 + X )1000(1 + X )
                                             = 2000 + 2000 X + 2000 X (1 + X )1000(1 + X )
                                             = 2000 + 2000 X + 2000 X × 1 + 2000 X X 1000(1 + X )
                                             = 2000 + 2000 X + 2000 X + 2000 X X 1000(1 + X )
                                             = 2000 + 4000 X + 2000 X X 1000(1 + X )
                                             = 2000 + 4000 X + 2000 X X 1000 × 11000 X
                                             = 2000 + 4000 X + 2000 X X 10001000 X
                                             = 1000 + 3000 X + 2000 X X
    The equation is transformed into :
     1000 + 3000 X + 2000 X X =
4285
4

    The solution of the equation:
        X1≈-1.523385 , keep 6 decimal places
        X2≈0.023385 , 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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