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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+0.538*x+0.03*(1261-446-x) = 753.67 .
Question type: Equation
Solution:Original question:
| 446 | × | 36 125 | + | 269 500 | x | + | 3 100 | ( | 1261 | − | 446 | − | x | ) | = | 75367 100 |
| Left side of the equation = | 16056 125 | + | 269 500 | x | + | 3 100 | ( | 1261 | − | 446 | − | x | ) |
16056 125 | + | 269 500 | x | + | 3 100 | ( | 1261 | − | 446 | − | x | ) | = | 75367 100 |
| Left side of the equation = | 16056 125 | + | 269 500 | x | + | 3 100 | × | 1261 | − | 3 100 | × | 446 | − | 3 100 | x |
| = | 16056 125 | + | 269 500 | x | + | 3783 100 | − | 669 50 | − | 3 100 | x |
| = | 76449 500 | + | 127 250 | x |
76449 500 | + | 127 250 | x | = | 75367 100 |
Transposition :
127 250 | x | = | 75367 100 | − | 76449 500 |
Combine the items on the right of the equation:
127 250 | x | = | 150193 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 150193 250 | ÷ | 127 250 |
| = | 150193 250 | × | 250 127 |
| = | 150193 | × | 1 127 |
We obtained :
| x | = | 150193 127 |
Convert the result to decimal form :
| x | = | 1182.622047 |