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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 0.015×0.015 = 0.0075(1.3+0.015x)×(1.3+0.015x) .
    Question type: Equation
    Solution:Original question:
     
3
200
 ×
3
200
 =
3
400
(
13
10
 +
3
200
 x )(
13
10
 +
3
200
 x )
     Left side of the equation =
9
40000
    The equation is transformed into :
     
9
40000
 =
3
400
(
13
10
 +
3
200
 x )(
13
10
 +
3
200
 x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
3
400
 ×
13
10
(
13
10
 +
3
200
 x ) +
3
400
 ×
3
200
 x (
13
10
 +
3
200
 x )
                                               =
39
4000
(
13
10
 +
3
200
 x ) +
9
80000
 x (
13
10
 +
3
200
 x )
                                               =
39
4000
 ×
13
10
 +
39
4000
 ×
3
200
 x +
9
80000
 x (
13
10
 +
3
200
 x )
                                               =
507
40000
 +
117
800000
 x +
9
80000
 x (
13
10
 +
3
200
 x )
                                               =
507
40000
 +
117
800000
 x +
9
80000
 x ×
13
10
 +
9
80000
 x ×
3
200
 x
                                               =
507
40000
 +
117
800000
 x +
117
800000
 x +
27
16000000
 x x
                                               =
507
40000
 +
117
400000
 x +
27
16000000
 x x
    The equation is transformed into :
     
9
40000
 =
507
40000
 +
117
400000
 x +
27
16000000
 x x

    After the equation is converted into a general formula, there is a common factor:
    ( 125000x + 12276709 )
    From
        125000x + 12276709 = 0
    it is concluded that:：
        x1=-
12276709
125000

    Solutions that cannot be obtained by factorization:
        x2≈-75.119661 , 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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