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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 30*24-(30-2x)(24-2x) = 80 .
    Question type: Equation
    Solution:Original question:
     30 × 24 − (30 − 2 x )(24 − 2 x ) = 80
     Left side of the equation = 720 − (30 − 2 x )(24 − 2 x )
    The equation is transformed into :
     720 − (30 − 2 x )(24 − 2 x ) = 80
    Remove the bracket on the left of the equation:
     Left side of the equation = 720 − 30(24 − 2 x ) + 2 x (24 − 2 x )
                                             = 720 − 30 × 24 + 30 × 2 x + 2 x (24 − 2 x )
                                             = 720 − 720 + 60 x + 2 x (24 − 2 x )
                                             = 0 + 60 x + 2 x (24 − 2 x )
                                             = 0 + 60 x + 2 x × 24 − 2 x × 2 x
                                             = 0 + 60 x + 48 x − 4 x x
                                             = 0 + 108 x − 4 x x
    The equation is transformed into :
     0 + 108 x − 4 x x = 80

    The solution of the equation:
        x1≈0.762261 , keep 6 decimal places
        x2≈26.237739 , 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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