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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 14+11.42+46.56+129.01+((2*17.97+10.7*(x+2.8))*(x+2.8)/2) = (85.35*2+38.21x)*x/2 .
    Question type: Equation
    Solution:Original question:
     14 +
571
50
+
1164
25
+
12901
100
+ ((2 ×
1797
100
+
107
10
( x +
14
5
))( x +
14
5
) ÷ 2) = (
1707
20
× 2 +
3821
100
x ) x ÷ 2
     Left side of the equation =
20099
100
+ ((2 ×
1797
100
+
107
10
( x +
14
5
))( x +
14
5
) ÷ 2)
    The equation is transformed into :
     
20099
100
+ ((2 ×
1797
100
+
107
10
( x +
14
5
))( x +
14
5
) ÷ 2) = (
1707
20
× 2 +
3821
100
x ) x ÷ 2
    Remove the bracket on the left of the equation:
     Left side of the equation =
20099
100
+ (2 ×
1797
100
+
107
10
( x +
14
5
))( x +
14
5
) ÷ 2
                                             =
20099
100
+ 2 ×
1797
100
( x +
14
5
) ×
1
2
+
107
10
( x +
14
5
)( x +
14
5
) ×
1
2
                                             =
20099
100
+
1797
100
( x +
14
5
) +
107
20
( x +
14
5
)( x +
14
5
)
                                             =
20099
100
+
1797
100
x +
1797
100
×
14
5
+
107
20
( x +
14
5
)( x +
14
5
)
                                             =
20099
100
+
1797
100
x +
12579
250
+
107
20
( x +
14
5
)( x +
14
5
)
                                             =
125653
500
+
1797
100
x +
107
20
( x +
14
5
)( x +
14
5
)
                                             =
125653
500
+
1797
100
x +
107
20
x ( x +
14
5
) +
107
20
×
14
5
( x +
14
5
)
                                             =
125653
500
+
1797
100
x +
107
20
x ( x +
14
5
) +
749
50
( x +
14
5
)
                                             =
125653
500
+
1797
100
x +
107
20
x x +
107
20
x ×
14
5
+
749
50
( x +
14
5
)
                                             =
125653
500
+
1797
100
x +
107
20
x x +
749
50
x +
749
50
( x +
14
5
)
                                             =
125653
500
+
659
20
x +
107
20
x x +
749
50
( x +
14
5
)
                                             =
125653
500
+
659
20
x +
107
20
x x +
749
50
x +
749
50
×
14
5
                                             =
125653
500
+
659
20
x +
107
20
x x +
749
50
x +
5243
125
                                             =
1173
4
+
4793
100
x +
107
20
x x
    The equation is transformed into :
     
1173
4
+
4793
100
x +
107
20
x x = (
1707
20
× 2 +
3821
100
x ) x ÷ 2
    Remove the bracket on the right of the equation:
     Right side of the equation =
1707
20
× 2 x ×
1
2
+
3821
100
x x ×
1
2
                                               =
1707
20
x +
3821
200
x x
    The equation is transformed into :
     
1173
4
+
4793
100
x +
107
20
x x =
1707
20
x +
3821
200
x x

    The solution of the equation:
        x1≈-6.173730 , keep 6 decimal places
        x2≈3.453264 , 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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