Mathematics
         
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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 (0.6-x)*(0.5-x) = 0.625*(0.2+x) .
    Question type: Equation
    Solution:Original question:
     (
3
5
x )(
1
2
x ) =
5
8
(
1
5
+ x )
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
5
(
1
2
x ) x (
1
2
x )
                                             =
3
5
×
1
2
3
5
x x (
1
2
x )
                                             =
3
10
3
5
x x (
1
2
x )
                                             =
3
10
3
5
x x ×
1
2
+ x x
                                             =
3
10
11
10
x + x x
    The equation is transformed into :
     
3
10
11
10
x + x x =
5
8
(
1
5
+ x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
5
8
×
1
5
+
5
8
x
                                               =
1
8
+
5
8
x
    The equation is transformed into :
     
3
10
11
10
x + x x =
1
8
+
5
8
x

    The solution of the equation:
        x1≈0.108241 , keep 6 decimal places
        x2≈1.616759 , 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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