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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 (0.05-x)×(0.001-x)/(0.05+x) = 1.75×10*-5 .
    Question type: Equation
    Solution:Original question:
     (
1
20
x )(
1
1000
x ) ÷ (
1
20
+ x ) =
7
4
× 105
     Multiply both sides of the equation by:(
1
20
+ x )
     (
1
20
x )(
1
1000
x ) =
7
4
× 10(
1
20
+ x )5(
1
20
+ x )
    Remove a bracket on the left of the equation::
     
1
20
(
1
1000
x ) x (
1
1000
x ) =
7
4
× 10(
1
20
+ x )5(
1
20
+ x )
    Remove a bracket on the right of the equation::
     
1
20
(
1
1000
x ) x (
1
1000
x ) =
7
4
× 10 ×
1
20
+
7
4
× 10 x 5(
1
20
+ x )
    The equation is reduced to :
     
1
20
(
1
1000
x ) x (
1
1000
x ) =
7
8
+
35
2
x 5(
1
20
+ x )
    Remove a bracket on the left of the equation:
     
1
20
×
1
1000
1
20
x x (
1
1000
x ) =
7
8
+
35
2
x 5(
1
20
+ x )
    Remove a bracket on the right of the equation::
     
1
20
×
1
1000
1
20
x x (
1
1000
x ) =
7
8
+
35
2
x 5 ×
1
20
5 x
    The equation is reduced to :
     
1
20000
1
20
x x (
1
1000
x ) =
7
8
+
35
2
x
1
4
5 x
    The equation is reduced to :
     
1
20000
1
20
x x (
1
1000
x ) =
5
8
+
25
2
x
    Remove a bracket on the left of the equation:
     
1
20000
1
20
x x ×
1
1000
+ x x =
5
8
+
25
2
x
    The equation is reduced to :
     
1
20000
51
1000
x + x x =
5
8
+
25
2
x

    
        x≈-87.398942 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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