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    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 0.261*(1.262-k)/(1.262+2*k) = (k-0.22)/(0.22+2*k) .
    Question type: Equation
    Solution:Original question:
     
261
1000
(
631
500
k ) ÷ (
631
500
+ 2 k ) = ( k
11
50
) ÷ (
11
50
+ 2 k )
     Multiply both sides of the equation by:(
631
500
+ 2 k ) ,  (
11
50
+ 2 k )
     
261
1000
(
631
500
k )(
11
50
+ 2 k ) = ( k
11
50
)(
631
500
+ 2 k )
    Remove a bracket on the left of the equation::
     
261
1000
×
631
500
(
11
50
+ 2 k )
261
1000
k (
11
50
+ 2 k ) = ( k
11
50
)(
631
500
+ 2 k )
    Remove a bracket on the right of the equation::
     
261
1000
×
631
500
(
11
50
+ 2 k )
261
1000
k (
11
50
+ 2 k ) = k (
631
500
+ 2 k )
11
50
(
631
500
+ 2 k )
    The equation is reduced to :
     
164691
500000
(
11
50
+ 2 k )
261
1000
k (
11
50
+ 2 k ) = k (
631
500
+ 2 k )
11
50
(
631
500
+ 2 k )
    Remove a bracket on the left of the equation:
     
164691
500000
×
11
50
+
164691
500000
× 2 k
261
1000
k (
11
50
+ 2 k ) = k (
631
500
+ 2 k )
11
50
(
631
500
+ 2 k )
    Remove a bracket on the right of the equation::
     
164691
500000
×
11
50
+
164691
500000
× 2 k
261
1000
k (
11
50
+ 2 k ) = k ×
631
500
+ k × 2 k
11
50
(
631
500
+ 2 k )
    The equation is reduced to :
     
1811601
25000000
+
164691
250000
k
261
1000
k (
11
50
+ 2 k ) = k ×
631
500
+ k × 2 k
11
50
(
631
500
+ 2 k )
    Remove a bracket on the left of the equation:
     
1811601
25000000
+
164691
250000
k
261
1000
k ×
11
50
261
1000
k × 2 k =
631
500
k + k × 2 k
11
50
(
631
500
+ 2 k )
    Remove a bracket on the right of the equation::
     
1811601
25000000
+
164691
250000
k
261
1000
k ×
11
50
261
1000
k × 2 k =
631
500
k + k × 2 k
11
50
×
631
500
11
50
× 2 k
    The equation is reduced to :
     
1811601
25000000
+
164691
250000
k
2871
50000
k
261
500
k k =
631
500
k + k × 2 k
6941
25000
11
25
k

    The solution of the equation:
        k1≈-0.418891 , keep 6 decimal places
        k2≈0.331399 , 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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