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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 0.34（（2000-X）*0.21+0.79*（-600-X））+0.66（（2000-X）*0.95+0.05*（-640-X）） = 1220 .
Question type: Equation
Solution:Original question:
17 50 | ( | ( | 2000 | − | X | ) | × | 21 100 | + | 79 100 | ( | - | 600 | − | X | ) | ) | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) | = | 1220 |
| Left side of the equation = | 17 50 | ( | 2000 | − | X | ) | × | 21 100 | + | 17 50 | × | 79 100 | ( | - | 600 | − | X | ) | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | 357 5000 | ( | 2000 | − | X | ) | + | 1343 5000 | ( | - | 600 | − | X | ) | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | 357 5000 | × | 2000 | − | 357 5000 | X | + | 1343 5000 | ( | - | 600 | − | X | ) | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | 714 5 | − | 357 5000 | X | + | 1343 5000 | ( | - | 600 | − | X | ) | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | 714 5 | − | 357 5000 | X | − | 1343 5000 | × | 600 | − | 1343 5000 | X | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | 714 5 | − | 357 5000 | X | − | 4029 25 | − | 1343 5000 | X | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | - | 459 25 | − | 17 50 | X | + | 33 50 | ( | ( | 2000 | − | X | ) | × | 19 20 | + | 1 20 | ( | - | 640 | − | X | ) | ) |
| = | - | 459 25 | − | 17 50 | X | + | 33 50 | ( | 2000 | − | X | ) | × | 19 20 | + | 33 50 | × | 1 20 | ( | - | 640 | − | X | ) |
| = | - | 459 25 | − | 17 50 | X | + | 627 1000 | ( | 2000 | − | X | ) | + | 33 1000 | ( | - | 640 | − | X | ) |
| = | - | 459 25 | − | 17 50 | X | + | 627 1000 | × | 2000 | − | 627 1000 | X | + | 33 1000 | ( | - | 640 | − | X | ) |
| = | - | 459 25 | − | 17 50 | X | + | 1254 | − | 627 1000 | X | + | 33 1000 | ( | - | 640 | − | X | ) |
| = | 30891 25 | − | 967 1000 | X | + | 33 1000 | ( | - | 640 | − | X | ) |
| = | 30891 25 | − | 967 1000 | X | − | 33 1000 | × | 640 | − | 33 1000 | X |
| = | 30891 25 | − | 967 1000 | X | − | 528 25 | − | 33 1000 | X |
| = | 30363 25 | − | 1 | X |
30363 25 | − | 1 | X | = | 1220 |
Transposition :
| - | 1 | X | = | 1220 | − | 30363 25 |
| - | X | = | 1220 | − | 30363 25 |
Combine the items on the right of the equation:
| - | X | = | 137 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 137 25 | = | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| X | = | - | 137 25 |
This is the solution of the equation.