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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 0.1 = (0.70-0.15)-0.8*(1-x)/0.8*(1-x) .
    Question type: Equation
    Solution:Original question:
     
1
10
= (
7
10
3
20
)
4
5
(1 x ) ÷
4
5
× (1 x )
     Right side of the equation = (
7
10
3
20
)1(1 x )(1 x )
    The equation is transformed into :
     
1
10
= (
7
10
3
20
)1(1 x )(1 x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
7
10
3
20
1(1 x )(1 x )
                                               =
11
20
1(1 x )(1 x )
                                               =
11
20
1 × 1(1 x ) + 1 x (1 x )
                                               =
11
20
1(1 x ) + 1 x (1 x )
                                               =
11
20
1 × 1 + 1 x + 1 x (1 x )
                                               =
11
20
1 + 1 x + 1 x (1 x )
                                               = -
9
20
+ 1 x + 1 x (1 x )
                                               = -
9
20
+ 1 x + 1 x × 11 x x
                                               = -
9
20
+ 1 x + 1 x 1 x x
                                               = -
9
20
+ 2 x 1 x x
    The equation is transformed into :
     
1
10
= -
9
20
+ 2 x 1 x x

    The solution of the equation:
        x1≈0.329180 , keep 6 decimal places
        x2≈1.670820 , 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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