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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 0.25*(1+0.5x)*(1+0.3x) = 1 .
    Question type: Equation
    Solution:Original question:
     
1
4
(1 +
1
2
x )(1 +
3
10
x ) = 1
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
4
× 1(1 +
3
10
x ) +
1
4
×
1
2
x (1 +
3
10
x )
                                             =
1
4
(1 +
3
10
x ) +
1
8
x (1 +
3
10
x )
                                             =
1
4
× 1 +
1
4
×
3
10
x +
1
8
x (1 +
3
10
x )
                                             =
1
4
+
3
40
x +
1
8
x (1 +
3
10
x )
                                             =
1
4
+
3
40
x +
1
8
x × 1 +
1
8
x ×
3
10
x
                                             =
1
4
+
3
40
x +
1
8
x +
3
80
x x
                                             =
1
4
+
1
5
x +
3
80
x x
    The equation is transformed into :
     
1
4
+
1
5
x +
3
80
x x = 1

    The solution of the equation:
        x1≈-7.873500 , keep 6 decimal places
        x2≈2.540166 , 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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