Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
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 0.894*（0.22-k）/(0.22+2*k)+(1-0.894)*(1.262-k)/(1.262+2*k) = 0 .
    Question type: Equation
    Solution:Original question:
     
447
500
(
11
50
 − k ) ÷ (
11
50
 + 2 k ) + (1 −
447
500
)(
631
500
 − k ) ÷ (
631
500
 + 2 k ) = 0
     Multiply both sides of the equation by:(
11
50
 + 2 k )
     
447
500
(
11
50
 − k ) + (1 −
447
500
)(
631
500
 − k ) ÷ (
631
500
 + 2 k ) × (
11
50
 + 2 k ) = 0
    Remove a bracket on the left of the equation:：
     
447
500
 ×
11
50
 −
447
500
 k + (1 −
447
500
)(
631
500
 − k ) ÷ (
631
500
 + 2 k ) × (
11
50
 + 2 k ) = 0
    The equation is reduced to :
     
4917
25000
 −
447
500
 k + (1 −
447
500
)(
631
500
 − k ) ÷ (
631
500
 + 2 k ) × (
11
50
 + 2 k ) = 0
     Multiply both sides of the equation by:(
631
500
 + 2 k )
     
4917
25000
(
631
500
 + 2 k ) −
447
500
 k (
631
500
 + 2 k ) + (1 −
447
500
)(
631
500
 − k )(
11
50
 + 2 k ) = 0
    Remove a bracket on the left of the equation:
     
4917
25000
 ×
631
500
 +
4917
25000
 × 2 k −
447
500
 k (
631
500
 + 2 k ) + (1 −
447
500
)(
631
500
 − k )(
11
50
 + 2 k ) = 0
    The equation is reduced to :
     
3102627
12500000
 +
4917
12500
 k −
447
500
 k (
631
500
 + 2 k ) + (1 −
447
500
)(
631
500
 − k )(
11
50
 + 2 k ) = 0
    Remove a bracket on the left of the equation:
     
3102627
12500000
 +
4917
12500
 k −
447
500
 k ×
631
500
 −
447
500
 k × 2 k + (1 −
447
500
)(
631
500
 − k ) = 0
    The equation is reduced to :
     
3102627
12500000
 +
4917
12500
 k −
282057
250000
 k −
447
250
 k k + (1 −
447
500
)(
631
500
 − k )(
11
50
 + 2 k ) = 0
    The equation is reduced to :
     
3102627
12500000
 −
183717
250000
 k −
447
250
 k k + (1 −
447
500
)(
631
500
 − k )(
11
50
 + 2 k ) = 0
    Remove a bracket on the left of the equation:
     
3102627
12500000
 −
183717
250000
 k −
447
250
 k k + 1(
631
500
 − k )(
11
50
 + 2 k ) −
447
500
(
631
500
 − k )(
11
50
 + 2 k ) = 0
    Remove a bracket on the left of the equation:
     
3102627
12500000
 −
183717
250000
 k −
447
250
 k k + 1 ×
631
500
(
11
50
 + 2 k ) − 1 k (
11
50
 + 2 k ) = 0
    The equation is reduced to :
     
3102627
12500000
 −
183717
250000
 k −
447
250
 k k +
631
500
(
11
50
 + 2 k ) − 1 k (
11
50
 + 2 k ) −
447
500
 = 0
    Remove a bracket on the left of the equation:
     
3102627
12500000
 −
183717
250000
 k −
447
250
 k k +
631
500
 ×
11
50
 +
631
500
 × 2 k − 1 = 0
    The equation is reduced to :
     
3102627
12500000
 −
183717
250000
 k −
447
250
 k k +
6941
25000
 +
631
250
 k − 1 k (
11
50
 + 2 k ) = 0

    The solution of the equation:
        k1≈-0.514918 , keep 6 decimal places
        k2≈0.269596 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。