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    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-175.7)*((x-262.7)*(x-153)-200.3*200.3)+213.9*(-213.9*(x-153)-200.3*163.8)-163.8*(213.9*200.3+163.8*(x-262.7)) = 0 .
    Question type: Equation
    Solution:Original question:
     ( x
1757
10
)(( x
2627
10
)( x 153)
2003
10
×
2003
10
) +
2139
10
( -
2139
10
( x 153)
2003
10
×
819
5
)
819
5
(
2139
10
×
2003
10
+
819
5
( x
2627
10
)) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x (( x
2627
10
)( x 153)
2003
10
×
2003
10
)
1757
10
(( x
2627
10
)( x 153)
2003
10
×
2003
10
) +
2139
10
( -
2139
10
( x 153)
2003
10
×
819
5
)
819
5
(
2139
10
×
2003
10
+
819
5
( x
2627
10
))
                                             = x ( x
2627
10
)( x 153) x ×
2003
10
×
2003
10
1757
10
(( x
2627
10
)( x 153)
2003
10
×
2003
10
) +
2139
10
( -
2139
10
( x 153)
2003
10
×
819
5
)
819
5
(
2139
10
×
2003
10
+
819
5
( x
2627
10
))
                                             = x ( x
2627
10
)( x 153) x ×
4012009
100
1757
10
(( x
2627
10
)( x 153)
2003
10
×
2003
10
) +
2139
10
( -
2139
10
( x 153)
2003
10
×
819
5
)
819
5
(
2139
10
×
2003
10
+
819
5
( x
2627
10
))
                                             = x x ( x 153) x ×
2627
10
( x 153)
4012009
100
x
1757
10
(( x
2627
10
)( x 153)
2003
10
×
2003
10
) +
2139
10
( -
2139
10
( x 153)
2003
10
×
819
5
)
                                             = x x x x x × 153 x ×
2627
10
( x 153)
4012009
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x + x ×
2627
10
× 153
                                             = x x x x x × 153 x ×
2627
10
x + x ×
401931
10
4012009
100
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
7301
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
2695511
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
2695511
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
2695511
100
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
146223
2
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
146223
2
x
1757
10
                                             = x x x x x × 153 x ×
2627
10
x +
146223
2
x
1757
10

    The solution of the equation:
        x1≈-0.036 , keep 3 decimal places
        x2≈0.929951 , 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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