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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 (2+1.5*x)*x = 1.15*2*(1.8-x)*(1.58+(1.8-x)*1.5) .
    Question type: Equation
    Solution:Original question:
     (2 +
3
2
x ) x =
23
20
× 2(
9
5
x )(
79
50
+ (
9
5
x ) ×
3
2
)
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 x +
3
2
x x
    The equation is transformed into :
     2 x +
3
2
x x =
23
20
× 2(
9
5
x )(
79
50
+ (
9
5
x ) ×
3
2
)
     Right side of the equation =
23
10
(
9
5
x )(
79
50
+ (
9
5
x ) ×
3
2
)
    The equation is transformed into :
     2 x +
3
2
x x =
23
10
(
9
5
x )(
79
50
+ (
9
5
x ) ×
3
2
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
23
10
×
9
5
(
79
50
+ (
9
5
x ) ×
3
2
)
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
207
50
(
79
50
+ (
9
5
x ) ×
3
2
)
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
207
50
×
79
50
+
207
50
(
9
5
x ) ×
3
2
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
16353
2500
+
621
100
(
9
5
x )
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
16353
2500
+
621
100
×
9
5
621
100
x
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
16353
2500
+
5589
500
621
100
x
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
22149
1250
621
100
x
23
10
x (
79
50
+ (
9
5
x ) ×
3
2
)
                                               =
22149
1250
621
100
x
23
10
x ×
79
50
23
10
x (
9
5
x ) ×
3
2
                                               =
22149
1250
621
100
x
1817
500
x
69
20
x (
9
5
x )
                                               =
22149
1250
2461
250
x
69
20
x (
9
5
x )
                                               =
22149
1250
2461
250
x
69
20
x ×
9
5
+
69
20
x x
                                               =
22149
1250
2461
250
x
621
100
x +
69
20
x x
                                               =
22149
1250
8027
500
x +
69
20
x x
    The equation is transformed into :
     2 x +
3
2
x x =
22149
1250
8027
500
x +
69
20
x x

    The solution of the equation:
        x1≈1.115969 , keep 6 decimal places
        x2≈8.142493 , 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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