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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 (18.9*0.4*4-2*10*0.63)*(4.5+x) = (18.9*2.56*x+2*10*1.6)*x-(18.9*0.4*x-2*10*0.63)*x .
    Question type: Equation
    Solution:Original question:
     (
189
10
×
2
5
× 42 × 10 ×
63
100
)(
9
2
+ x ) = (
189
10
×
64
25
x + 2 × 10 ×
8
5
) x (
189
10
×
2
5
x 2 × 10 ×
63
100
) x
    Remove the bracket on the left of the equation:
     Left side of the equation =
189
10
×
2
5
× 4(
9
2
+ x )2 × 10 ×
63
100
(
9
2
+ x )
                                             =
756
25
(
9
2
+ x )
63
5
(
9
2
+ x )
                                             =
756
25
×
9
2
+
756
25
x
63
5
(
9
2
+ x )
                                             =
3402
25
+
756
25
x
63
5
(
9
2
+ x )
                                             =
3402
25
+
756
25
x
63
5
×
9
2
63
5
x
                                             =
3402
25
+
756
25
x
567
10
63
5
x
                                             =
3969
50
+
441
25
x
    The equation is transformed into :
     
3969
50
+
441
25
x = (
189
10
×
64
25
x + 2 × 10 ×
8
5
) x (
189
10
×
2
5
x 2 × 10 ×
63
100
) x
    Remove the bracket on the right of the equation:
     Right side of the equation =
189
10
×
64
25
x x + 2 × 10 ×
8
5
x (
189
10
×
2
5
x 2 × 10 ×
63
100
) x
                                               =
6048
125
x x + 32 x (
189
10
×
2
5
x 2 × 10 ×
63
100
) x
                                               =
6048
125
x x + 32 x
189
10
×
2
5
x x + 2 × 10 ×
63
100
                                               =
6048
125
x x + 32 x
189
25
x x +
63
5
x
                                               =
6048
125
x x +
223
5
x
189
25
x x
    The equation is transformed into :
     
3969
50
+
441
25
x =
6048
125
x x +
223
5
x
189
25
x x

    The solution of the equation:
        x1≈-1.763193 , keep 6 decimal places
        x2≈1.102797 , 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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