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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 908.64 = x*3012.22+(1-x)*504.78+(1-x)*(3465.85-3012.22) .
Question type: Equation
Solution:Original question:
22716 25 | = | x | × | 150611 50 | + | ( | 1 | − | x | ) | × | 25239 50 | + | ( | 1 | − | x | ) | ( | 69317 20 | − | 150611 50 | ) |
| Right side of the equation = | 150611 50 | x | + | 1 | × | 25239 50 | − | x | × | 25239 50 | + | ( | 1 | − | x | ) | ( | 69317 20 | − | 150611 50 | ) |
| = | 150611 50 | x | + | 25239 50 | − | x | × | 25239 50 | + | ( | 1 | − | x | ) | ( | 69317 20 | − | 150611 50 | ) |
| = | 62686 25 | x | + | 25239 50 | + | ( | 1 | − | x | ) | ( | 69317 20 | − | 150611 50 | ) |
| = | 62686 25 | x | + | 25239 50 | + | 1 | ( | 69317 20 | − | 150611 50 | ) | − | x | ( | 69317 20 | − | 150611 50 | ) |
| = | 62686 25 | x | + | 25239 50 | + | 1 | × | 69317 20 | − | 1 | × | 150611 50 | − | x | ( | 69317 20 | − | 150611 50 | ) |
| = | 62686 25 | x | + | 25239 50 | + | 69317 20 | − | 150611 50 | − | x | ( | 69317 20 | − | 150611 50 | ) |
| = | 62686 25 | x | + | 95841 100 | − | x | ( | 69317 20 | − | 150611 50 | ) |
| = | 62686 25 | x | + | 95841 100 | − | x | × | 69317 20 | + | x | × | 150611 50 |
| = | 205381 100 | x | + | 95841 100 |
22716 25 | = | 205381 100 | x | + | 95841 100 |
Transposition :
| - | 205381 100 | x | = | 95841 100 | − | 22716 25 |
Combine the items on the right of the equation:
| - | 205381 100 | x | = | 4977 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 4977 100 | = | 205381 100 | 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 :
205381 100 | x | = | - | 4977 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 4977 100 | ÷ | 205381 100 |
| = | - | 4977 100 | × | 100 205381 |
| = | - | 4977 | × | 1 205381 |
We obtained :
| x | = | - | 4977 205381 |
Convert the result to decimal form :
| x | = | - 0.024233 |