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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 （12.5*19.8*（165.24-3*3.14x*x）+11.5*21.8*（165.24-3*3.14x*x）+2.5*24*3*3.14x）/165.24*21.5 = 21.54 .
    Question type: Equation
    Solution:Original question:
     (
25
2
 ×
99
5
(
4131
25
 − 3 ×
157
50
 x x ) +
23
2
 ×
109
5
(
4131
25
 − 3 ×
157
50
 x x ) +
5
2
 × 24 × 3 ×
157
50
 x ) ÷
4131
25
 ×
43
2
 =
1077
50
     Left side of the equation = (
25
2
 ×
99
5
(
4131
25
 − 3 ×
157
50
 x x ) +
23
2
 ×
109
5
(
4131
25
 − 3 ×
157
50
 x x ) +
5
2
 × 24 × 3 ×
157
50
 x ) ×
1075
8262
    The equation is transformed into :
     (
25
2
 ×
99
5
(
4131
25
 − 3 ×
157
50
 x x ) +
23
2
 ×
109
5
(
4131
25
 − 3 ×
157
50
 x x ) +
5
2
 × 24 × 3 ×
157
50
 x ) ×
1075
8262
 =
1077
50
    Remove the bracket on the left of the equation:
     Left side of the equation =
25
2
 ×
99
5
(
4131
25
 − 3 ×
157
50
 x x ) ×
1075
8262
 +
23
2
 ×
109
5
(
4131
25
 − 3 ×
157
50
 x x ) ×
1075
8262
 +
5
2
 × 24 × 3 ×
157
50
                                             =
59125
1836
(
4131
25
 − 3 ×
157
50
 x x ) +
539005
16524
(
4131
25
 − 3 ×
157
50
 x x ) +
33755
459
 x
                                             =
59125
1836
 ×
4131
25
 −
59125
1836
 × 3 ×
157
50
 x x +
539005
16524
(
4131
25
 − 3 ×
157
50
 x x ) +
33755
459
 x
                                             =
21285
4
 −
371305
1224
 x x +
539005
16524
(
4131
25
 − 3 ×
157
50
 x x ) +
33755
459
 x
                                             =
21285
4
 −
371305
1224
 x x +
539005
16524
 ×
4131
25
 −
539005
16524
 × 3 ×
157
50
 x x +
33755
459
                                             =
21285
4
 −
371305
1224
 x x +
107801
20
 −
16924757
55080
 x x +
33755
459
 x
                                             =
107113
10
 −
371305
1224
 x x −
16924757
55080
 x x +
33755
459
 x
    The equation is transformed into :
     
107113
10
 −
371305
1224
 x x −
16924757
55080
 x x +
33755
459
 x =
1077
50

    The solution of the equation:
        x1≈-4.124249 , keep 6 decimal places
        x2≈4.244682 , 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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