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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 200.99+0.5*(101.82+10.7*x)*(x+2.8) = 0.5*x*(170.7+38.21*x) .
    Question type: Equation
    Solution:Original question:
     
20099
100
+
1
2
(
5091
50
+
107
10
x )( x +
14
5
) =
1
2
x (
1707
10
+
3821
100
x )
    Remove the bracket on the left of the equation:
     Left side of the equation =
20099
100
+
1
2
×
5091
50
( x +
14
5
) +
1
2
×
107
10
x ( x +
14
5
)
                                             =
20099
100
+
5091
100
( x +
14
5
) +
107
20
x ( x +
14
5
)
                                             =
20099
100
+
5091
100
x +
5091
100
×
14
5
+
107
20
x ( x +
14
5
)
                                             =
20099
100
+
5091
100
x +
35637
250
+
107
20
x ( x +
14
5
)
                                             =
171769
500
+
5091
100
x +
107
20
x ( x +
14
5
)
                                             =
171769
500
+
5091
100
x +
107
20
x x +
107
20
x ×
14
5
                                             =
171769
500
+
5091
100
x +
107
20
x x +
749
50
x
                                             =
171769
500
+
6589
100
x +
107
20
x x
    The equation is transformed into :
     
171769
500
+
6589
100
x +
107
20
x x =
1
2
x (
1707
10
+
3821
100
x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
2
x ×
1707
10
+
1
2
x ×
3821
100
x
                                               =
1707
20
x +
3821
200
x x
    The equation is transformed into :
     
171769
500
+
6589
100
x +
107
20
x x =
1707
20
x +
3821
200
x x

    The solution of the equation:
        x1≈-5.754743 , keep 6 decimal places
        x2≈4.339985 , 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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