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 (x+4)(500-(x-4)/0.1*10) = 800 .
    Question type: Equation
    Solution:Original question:
     ( x + 4)(500( x 4) ÷
1
10
× 10) = 800
    Remove the bracket on the left of the equation:
     Left side of the equation = x (500( x 4) ÷
1
10
× 10) + 4(500( x 4) ÷
1
10
× 10)
                                             = x × 500 x ( x 4) ÷
1
10
× 10 + 4(500( x 4) ÷
1
10
× 10)
                                             = x × 500 x ( x 4) × 100 + 4(500( x 4) ÷
1
10
× 10)
                                             = 500 x x x × 100 + x × 4 × 100 + 4(500( x 4) ÷
1
10
× 10)
                                             = 500 x x x × 100 + x × 400 + 4(500( x 4) ÷
1
10
× 10)
                                             = 900 x x x × 100 + 4(500( x 4) ÷
1
10
× 10)
                                             = 900 x x x × 100 + 4 × 5004( x 4) ÷
1
10
× 10
                                             = 900 x x x × 100 + 2000400( x 4)
                                             = 900 x x x × 100 + 2000400 x + 400 × 4
                                             = 900 x x x × 100 + 2000400 x + 1600
                                             = 500 x x x × 100 + 3600
    The equation is transformed into :
     500 x x x × 100 + 3600 = 800

    The solution of the equation:
        x1≈-3.352350 , keep 6 decimal places
        x2≈8.352350 , 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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