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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 446*0.288+0.568*x+0.538*(1261-446-x) = 753.67 .
Question type: Equation
Solution:Original question:
| 446 | × | 36 125 | + | 71 125 | x | + | 269 500 | ( | 1261 | − | 446 | − | x | ) | = | 75367 100 |
| Left side of the equation = | 16056 125 | + | 71 125 | x | + | 269 500 | ( | 1261 | − | 446 | − | x | ) |
16056 125 | + | 71 125 | x | + | 269 500 | ( | 1261 | − | 446 | − | x | ) | = | 75367 100 |
| Left side of the equation = | 16056 125 | + | 71 125 | x | + | 269 500 | × | 1261 | − | 269 500 | × | 446 | − | 269 500 | x |
| = | 16056 125 | + | 71 125 | x | + | 339209 500 | − | 59987 250 | − | 269 500 | x |
| = | 283459 500 | + | 3 100 | x |
283459 500 | + | 3 100 | x | = | 75367 100 |
Transposition :
3 100 | x | = | 75367 100 | − | 283459 500 |
Combine the items on the right of the equation:
3 100 | x | = | 23344 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 23344 125 | ÷ | 3 100 |
| = | 23344 125 | × | 100 3 |
| = | 23344 5 | × | 4 3 |
We obtained :
| x | = | 93376 15 |
Convert the result to decimal form :
| x | = | 6225.066667 |