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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.
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*（0.22-k）/(0.22+2*k)+(1-0.261)*(1.262-k)/(1.262+2*k) = 0 .
Question type: Equation
Solution:Original question:
261 1000 | ( | 11 50 | − | k | ) | ÷ | ( | 11 50 | + | 2 | k | ) | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ÷ | ( | 631 500 | + | 2 | k | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 11 50 | + | 2 | k | ) |
261 1000 | ( | 11 50 | − | k | ) | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ÷ | ( | 631 500 | + | 2 | k | ) | × | ( | 11 50 | + | 2 | k | ) | = | 0 |
261 1000 | × | 11 50 | − | 261 1000 | k | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ÷ | ( | 631 500 | + | 2 | k | ) | × | ( | 11 50 | + | 2 | k | ) | = | 0 |
2871 50000 | − | 261 1000 | k | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ÷ | ( | 631 500 | + | 2 | k | ) | × | ( | 11 50 | + | 2 | k | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 631 500 | + | 2 | k | ) |
2871 50000 | ( | 631 500 | + | 2 | k | ) | − | 261 1000 | k | ( | 631 500 | + | 2 | k | ) | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ( | 11 50 | + | 2 | k | ) | = | 0 |
2871 50000 | × | 631 500 | + | 2871 50000 | × | 2 | k | − | 261 1000 | k | ( | 631 500 | + | 2 | k | ) | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ( | 11 50 | + | 2 | k | ) | = | 0 |
1811601 25000000 | + | 2871 25000 | k | − | 261 1000 | k | ( | 631 500 | + | 2 | k | ) | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ( | 11 50 | + | 2 | k | ) | = | 0 |
1811601 25000000 | + | 2871 25000 | k | − | 261 1000 | k | × | 631 500 | − | 261 1000 | k | × | 2 | k | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | = | 0 |
1811601 25000000 | + | 2871 25000 | k | − | 164691 500000 | k | − | 261 500 | k | k | + | ( | 1 | − | 261 1000 | ) | ( | 631 500 | − | k | ) | ( | 11 50 | + | 2 | k | ) | = | 0 |
The solution of the equation:
k1≈-0.154493 , keep 6 decimal places
k2≈0.898550 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》