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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+25)(x+4)(x+0.25) = 62500 .
    Question type: Equation
    Solution:Original question:
     ( x + 25)( x + 4)( x +
1
4
) = 62500
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x + 4)( x +
1
4
) + 25( x + 4)( x +
1
4
)
                                             = x x ( x +
1
4
) + x × 4( x +
1
4
) + 25( x + 4)( x +
1
4
)
                                             = x x x + x x ×
1
4
+ x × 4( x +
1
4
) + 25( x + 4)( x +
1
4
)
                                             = x x x + x x ×
1
4
+ x × 4 x + x × 4 ×
1
4
                                             = x x x + x x ×
1
4
+ x × 4 x + x × 1 + 25
                                             = x x x + x x ×
1
4
+ x × 4 x + 1 x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x + 1 x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x + 1 x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x + 1 x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x +
29
4
x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x +
29
4
x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x +
29
4
x + 25
                                             = x x x + x x ×
1
4
+ x × 4 x +
429
4
x + 25
    The equation is transformed into :
      x x x + x x ×
1
4
+ x × 4 x +
429
4
x + 25 = 62500

    
        x≈31.258509 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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