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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-15)(-0.5x+45) = 400 .
    Question type: Equation
    Solution:Original question:
     ( x 15)( -
1
2
x + 45) = 400
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( -
1
2
x + 45)15( -
1
2
x + 45)
                                             = - x ×
1
2
x + x × 4515( -
1
2
x + 45)
                                             = - x ×
1
2
x + 45 x + 15 ×
1
2
x 15 × 45
                                             = - x ×
1
2
x + 45 x +
15
2
x 675
                                             = - x ×
1
2
x +
105
2
x 675
    The equation is transformed into :
      - x ×
1
2
x +
105
2
x 675 = 400

    The solution of the equation:
        x1≈27.877855 , keep 6 decimal places
        x2≈77.122145 , 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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