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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 6.18+11.68+34.39+156.23+((2*36.2+9.7*(x+1.8))*(x+1.8)/2) = (85.35*2+38.21x)*x/2 .
    Question type: Equation
    Solution:Original question:
     
309
50
+
292
25
+
3439
100
+
15623
100
+ ((2 ×
181
5
+
97
10
( x +
9
5
))( x +
9
5
) ÷ 2) = (
1707
20
× 2 +
3821
100
x ) x ÷ 2
     Left side of the equation =
5212
25
+ ((2 ×
181
5
+
97
10
( x +
9
5
))( x +
9
5
) ÷ 2)
    The equation is transformed into :
     
5212
25
+ ((2 ×
181
5
+
97
10
( x +
9
5
))( x +
9
5
) ÷ 2) = (
1707
20
× 2 +
3821
100
x ) x ÷ 2
    Remove the bracket on the left of the equation:
     Left side of the equation =
5212
25
+ (2 ×
181
5
+
97
10
( x +
9
5
))( x +
9
5
) ÷ 2
                                             =
5212
25
+ 2 ×
181
5
( x +
9
5
) ×
1
2
+
97
10
( x +
9
5
)( x +
9
5
) ×
1
2
                                             =
5212
25
+
181
5
( x +
9
5
) +
97
20
( x +
9
5
)( x +
9
5
)
                                             =
5212
25
+
181
5
x +
181
5
×
9
5
+
97
20
( x +
9
5
)( x +
9
5
)
                                             =
5212
25
+
181
5
x +
1629
25
+
97
20
( x +
9
5
)( x +
9
5
)
                                             =
6841
25
+
181
5
x +
97
20
( x +
9
5
)( x +
9
5
)
                                             =
6841
25
+
181
5
x +
97
20
x ( x +
9
5
) +
97
20
×
9
5
( x +
9
5
)
                                             =
6841
25
+
181
5
x +
97
20
x ( x +
9
5
) +
873
100
( x +
9
5
)
                                             =
6841
25
+
181
5
x +
97
20
x x +
97
20
x ×
9
5
+
873
100
( x +
9
5
)
                                             =
6841
25
+
181
5
x +
97
20
x x +
873
100
x +
873
100
( x +
9
5
)
                                             =
6841
25
+
4493
100
x +
97
20
x x +
873
100
( x +
9
5
)
                                             =
6841
25
+
4493
100
x +
97
20
x x +
873
100
x +
873
100
×
9
5
                                             =
6841
25
+
4493
100
x +
97
20
x x +
873
100
x +
7857
500
                                             =
144677
500
+
2683
50
x +
97
20
x x
    The equation is transformed into :
     
144677
500
+
2683
50
x +
97
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 :
     
144677
500
+
2683
50
x +
97
20
x x =
1707
20
x +
3821
200
x x

    The solution of the equation:
        x1≈-5.752008 , keep 6 decimal places
        x2≈3.528928 , 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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