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 x*(0.1+x) = 1.76*(0.1-x)/100000 .
    Question type: Equation
    Solution:Original question:
      x (
1
10
+ x ) =
44
25
(
1
10
x ) ÷ 100000
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
10
+ x x
    The equation is transformed into :
     
1
10
x + x x =
44
25
(
1
10
x ) ÷ 100000
     Right side of the equation =
11
625000
(
1
10
x )
    The equation is transformed into :
     
1
10
x + x x =
11
625000
(
1
10
x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
11
625000
×
1
10
11
625000
x
                                               =
11
6250000
11
625000
x
    The equation is transformed into :
     
1
10
x + x x =
11
6250000
11
625000
x

    After the equation is converted into a general formula, there is a common factor:
    ( x - 0 )
    From
        x - 0 = 0

    it is concluded that::
        x1=0, it is the incremental root of the eqution.

    Solutions that cannot be obtained by factorization:
        x2≈-0.1 , keep 1 decimal places
    
    There are 2 solution(s).

    There is(are) 1 additive root(s) and 1 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解程的详细方法请参阅:《方程的解法》



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