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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 10(x-1.4)(x-1.8)(x-2)/0.32+(x-2)(x-1)(x-1.8)/0.12-(x-1.4)(x-1)(x-2)/0.064-(x-1.4)(x-1)(x-1.8)/0.096 = 0 .
    Question type: Equation
    Solution:Original question:
     10( x
7
5
)( x
9
5
)( x 2) ÷
8
25
+ ( x 2)( x 1)( x
9
5
) ÷
3
25
( x
7
5
)( x 1)( x 2) = 0
     Left side of the equation =
125
4
( x
7
5
)( x
9
5
)( x 2) + ( x 2)( x 1)( x
9
5
) ×
25
3
( x
7
5
)( x 1)( x 2) ×
125
8
    The equation is transformed into :
     
125
4
( x
7
5
)( x
9
5
)( x 2) + ( x 2)( x 1)( x
9
5
) ×
25
3
( x
7
5
)( x 1)( x 2) ×
125
8
= 0
    Remove the bracket on the left of the equation:
     Left side of the equation =
125
4
x ( x
9
5
)( x 2)
125
4
×
7
5
( x
9
5
)( x 2) + ( x 2)( x 1)( x
9
5
) ×
25
3
                                             =
125
4
x ( x
9
5
)( x 2)
175
4
( x
9
5
)( x 2) + ( x 2)( x 1)( x
9
5
) ×
25
3
( x
7
5
)
                                             =
125
4
x x ( x 2)
125
4
x ×
9
5
( x 2)
175
4
( x
9
5
)( x 2) + ( x 2)
                                             =
125
4
x x ( x 2)
225
4
x ( x 2)
175
4
( x
9
5
)( x 2) + ( x 2)( x 1)
                                             =
125
4
x x x
125
4
x x × 2
225
4
x ( x 2)
175
4
                                             =
125
4
x x x
125
2
x x
225
4
x ( x 2)
175
4
( x
9
5
)
                                             =
125
4
x x x
125
2
x x
225
4
x x +
225
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
225
2
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
225
2
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
225
2
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
225
2
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
225
2
x
                                             =
125
4
x x x
125
2
x x
225
4
x x + 200 x
                                             =
125
4
x x x
125
2
x x
225
4
x x + 200 x
                                             =
125
4
x x x
125
2
x x
225
4
x x + 200 x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x
                                             =
125
4
x x x
125
2
x x
225
4
x x +
1115
4
x

    The solution of the equation:
        x1≈1.341096 , keep 6 decimal places
        x2≈1.900274 , keep 6 decimal places
        x3≈3.404783 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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