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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 0.45/(2.25−x)+0.03/(1−x)+0.033/(0.33-x)+0.084/(0.21-x) = 1 .
Question type: Equation
Solution:Original question:
9 20 | ÷ | ( | 9 4 | − | x | ) | + | 3 100 | ÷ | ( | 1 | − | x | ) | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 1 |
| Multiply both sides of the equation by: | ( | 9 4 | − | x | ) |
9 20 | + | 3 100 | ÷ | ( | 1 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 1 | ( | 9 4 | − | x | ) |
9 20 | + | 3 100 | ÷ | ( | 1 | − | x | ) | × | 9 4 | − | 3 100 | ÷ | ( | 1 | − | x | ) | × | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 1 | ( | 9 4 | − | x | ) |
9 20 | + | 3 100 | ÷ | ( | 1 | − | x | ) | × | 9 4 | − | 3 100 | ÷ | ( | 1 | − | x | ) | × | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 1 | × | 9 4 | − | 1 | x |
9 20 | + | 27 400 | ÷ | ( | 1 | − | x | ) | − | 3 100 | ÷ | ( | 1 | − | x | ) | × | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 9 4 | − | 1 | x |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
9 20 | ( | 1 | − | x | ) | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 9 4 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
9 20 | × | 1 | − | 9 20 | x | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | = | 9 4 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
9 20 | × | 1 | − | 9 20 | x | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | = | 9 4 | × | 1 | − | 9 4 | x | − | 1 | x | ( | 1 | − | x | ) |
9 20 | − | 9 20 | x | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 9 4 | − | 9 4 | x | − | 1 | x | ( | 1 | − | x | ) |
207 400 | − | 12 25 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | = | 9 4 | − | 9 4 | x | − | 1 | x | ( | 1 | − | x | ) |
| Multiply both sides of the equation by: | ( | 33 100 | − | x | ) |
207 400 | ( | 33 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | = | 9 4 | ( | 33 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
207 400 | × | 33 100 | − | 207 400 | x | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 9 4 | ( | 33 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
207 400 | × | 33 100 | − | 207 400 | x | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 9 4 | × | 33 100 | − | 9 4 | x | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
6831 40000 | − | 207 400 | x | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 297 400 | − | 9 4 | x | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
| Multiply both sides of the equation by: | ( | 21 100 | − | x | ) |
6831 40000 | ( | 21 100 | − | x | ) | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | = | 297 400 | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
6831 40000 | × | 21 100 | − | 6831 40000 | x | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | = | 297 400 | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
6831 40000 | × | 21 100 | − | 6831 40000 | x | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | = | 297 400 | × | 21 100 | − | 297 400 | x | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 |
143451 4000000 | − | 6831 40000 | x | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
143451 4000000 | − | 6831 40000 | x | − | 207 400 | x | × | 21 100 | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
143451 4000000 | − | 6831 40000 | x | − | 207 400 | x | × | 21 100 | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 9 4 | x | × | 21 100 | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) |
143451 4000000 | − | 6831 40000 | x | − | 4347 40000 | x | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 189 400 | x | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) |
143451 4000000 | − | 5589 20000 | x | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | = | 6237 40000 | − | 243 200 | x | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
The solution of the equation:
x1≈0.076702 , keep 6 decimal places
x2≈0.963143 , keep 6 decimal places
x3≈1.844133 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》