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 1600-(400-10x)(6+0.5x)-40x = 1175 .
    Question type: Equation
    Solution:Original question:
     1600(40010 x )(6 +
1
2
x )40 x = 1175
    Remove the bracket on the left of the equation:
     Left side of the equation = 1600400(6 +
1
2
x ) + 10 x (6 +
1
2
x )40 x
                                             = 1600400 × 6400 ×
1
2
x + 10 x (6 +
1
2
x )40 x
                                             = 16002400200 x + 10 x (6 +
1
2
x )40 x
                                             = - 800240 x + 10 x (6 +
1
2
x )
                                             = - 800240 x + 10 x × 6 + 10 x ×
1
2
x
                                             = - 800240 x + 60 x + 5 x x
                                             = - 800180 x + 5 x x
    The equation is transformed into :
      - 800180 x + 5 x x = 1175

    The solution of the equation:
        x1≈-8.814175 , keep 6 decimal places
        x2≈44.814175 , 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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