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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 (((0.667*x/(2.2-1.2*x))+0.333*x-0.65)/((2.15-1.1*x)/(2.17-0.6*x)-0.65) ) = 0.84 .
Question type: Equation
Solution:Original question:
| ( | ( | ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | + | 333 1000 | x | − | 13 20 | ) | ÷ | ( | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ) | ) | = | 21 25 |
| ( | ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | + | 333 1000 | x | − | 13 20 | ) | ÷ | ( | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ) | = | 21 25 |
| Multiply both sides of the equation by: | ( | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ) |
| ( | ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | + | 333 1000 | x | − | 13 20 | ) | = | 21 25 | ( | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ) |
| ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | + | 333 1000 | x | − | 13 20 | = | 21 25 | ( | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ) |
| ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | + | 333 1000 | x | − | 13 20 | = | 21 25 | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 21 25 | × | 13 20 |
| ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | + | 333 1000 | x | − | 13 20 | = | 21 25 | ( | 43 20 | − | 11 10 | x | ) | ÷ | ( | 217 100 | − | 3 5 | x | ) | − | 273 500 |
| Multiply both sides of the equation by: | ( | 217 100 | − | 3 5 | x | ) |
| ( | 667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | ) | ( | 217 100 | − | 3 5 | x | ) | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ( | 217 100 | − | 3 5 | x | ) | = | 21 25 | ( | 43 20 | − | 11 10 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) |
667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | × | ( | 217 100 | − | 3 5 | x | ) | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ( | 217 100 | − | 3 5 | x | ) | = | 21 25 | ( | 43 20 | − | 11 10 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) |
667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | × | ( | 217 100 | − | 3 5 | x | ) | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ( | 217 100 | − | 3 5 | x | ) | = | 21 25 | × | 43 20 | − | 21 25 | × | 11 10 | x | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) |
667 1000 | x | ÷ | ( | 11 5 | − | 6 5 | x | ) | × | ( | 217 100 | − | 3 5 | x | ) | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | − | 13 20 | ( | 217 100 | − | 3 5 | x | ) | = | 903 500 | − | 231 250 | x | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) |
| Multiply both sides of the equation by: | ( | 11 5 | − | 6 5 | x | ) |
667 1000 | x | ( | 217 100 | − | 3 5 | x | ) | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) | − | 13 20 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) | = | 903 500 | ( | 11 5 | − | 6 5 | x | ) | − | 231 250 | x | ( | 11 5 | − | 6 5 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
667 1000 | x | × | 217 100 | − | 667 1000 | x | × | 3 5 | x | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) | − | 13 20 | = | 903 500 | ( | 11 5 | − | 6 5 | x | ) | − | 231 250 | x | ( | 11 5 | − | 6 5 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
667 1000 | x | × | 217 100 | − | 667 1000 | x | × | 3 5 | x | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) | − | 13 20 | = | 903 500 | × | 11 5 | − | 903 500 | × | 6 5 | x | − | 231 250 | x | ( | 11 5 | − | 6 5 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 333 1000 | x | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) | − | 13 20 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) | = | 9933 2500 | − | 2709 1250 | x | − | 231 250 | x | ( | 11 5 | − | 6 5 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 333 1000 | x | × | 217 100 | ( | 11 5 | − | 6 5 | x | ) | − | 333 1000 | x | × | 3 5 | = | 9933 2500 | − | 2709 1250 | x | − | 231 250 | x | ( | 11 5 | − | 6 5 | x | ) | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 333 1000 | x | × | 217 100 | ( | 11 5 | − | 6 5 | x | ) | − | 333 1000 | x | × | 3 5 | = | 9933 2500 | − | 2709 1250 | x | − | 231 250 | x | × | 11 5 | + | 231 250 | x | × | 6 5 | x | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 72261 100000 | x | ( | 11 5 | − | 6 5 | x | ) | − | 999 5000 | x | x | ( | 11 5 | − | 6 5 | x | ) | = | 9933 2500 | − | 2709 1250 | x | − | 2541 1250 | x | + | 693 625 | x | x | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 72261 100000 | x | ( | 11 5 | − | 6 5 | x | ) | − | 999 5000 | x | x | ( | 11 5 | − | 6 5 | x | ) | = | 9933 2500 | − | 21 5 | x | + | 693 625 | x | x | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 72261 100000 | x | × | 11 5 | − | 72261 100000 | x | × | 6 5 | x | = | 9933 2500 | − | 21 5 | x | + | 693 625 | x | x | − | 273 500 | ( | 217 100 | − | 3 5 | x | ) | ( | 11 5 | − | 6 5 | x | ) |
144739 100000 | x | − | 2001 5000 | x | x | + | 72261 100000 | x | × | 11 5 | − | 72261 100000 | x | × | 6 5 | x | = | 9933 2500 | − | 21 5 | x | + | 693 625 | x | x | − | 273 500 | × | 217 100 | ( | 11 5 | − | 6 5 | x | ) | + | 273 500 | × | 3 5 | x |
144739 100000 | x | − | 2001 5000 | x | x | + | 794871 500000 | x | − | 216783 250000 | x | x | − | 999 5000 | x | = | 9933 2500 | − | 21 5 | x | + | 693 625 | x | x | − | 59241 50000 | ( | 11 5 | − | 6 5 | x | ) | + | 819 2500 | x | ( | 11 5 | − | 6 5 | x | ) |
The solution of the equation:
x1≈0.823560 , keep 6 decimal places
x2≈1.041549 , keep 6 decimal places
x3≈2.631948 , keep 6 decimal places
x4≈8.600598 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》