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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 220*3.81+X*7.93 = (X+220)*4.32 .
Question type: Equation
Solution:Original question:
| 220 | × | 381 100 | + | X | × | 793 100 | = | ( | X | + | 220 | ) | × | 108 25 |
| Left side of the equation = | 4191 5 | + | X | × | 793 100 |
4191 5 | + | 793 100 | X | = | ( | X | + | 220 | ) | × | 108 25 |
| Right side of the equation = | X | × | 108 25 | + | 220 | × | 108 25 |
| = | X | × | 108 25 | + | 4752 5 |
4191 5 | + | 793 100 | X | = | 108 25 | X | + | 4752 5 |
Transposition :
793 100 | X | − | 108 25 | X | = | 4752 5 | − | 4191 5 |
Combine the items on the left of the equation:
361 100 | X | = | 4752 5 | − | 4191 5 |
Combine the items on the right of the equation:
361 100 | X | = | 561 5 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 561 5 | ÷ | 361 100 |
| = | 561 5 | × | 100 361 |
| = | 561 | × | 20 361 |
We obtained :
| X | = | 11220 361 |
Convert the result to decimal form :
| X | = | 31.080332 |