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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 230*4.82+(x*4.95)/(230+x) = 4.92 .
Question type: Equation
Solution:Original question:
| 230 | × | 241 50 | + | ( | x | × | 99 20 | ) | ÷ | ( | 230 | + | x | ) | = | 123 25 |
| Multiply both sides of the equation by: | ( | 230 | + | x | ) |
| 230 | × | 241 50 | ( | 230 | + | x | ) | + | ( | x | × | 99 20 | ) | = | 123 25 | ( | 230 | + | x | ) |
| 230 | × | 241 50 | × | 230 | + | 230 | × | 241 50 | x | + | ( | x | × | 99 20 | ) | = | 123 25 | ( | 230 | + | x | ) |
| 230 | × | 241 50 | × | 230 | + | 230 | × | 241 50 | x | + | ( | x | × | 99 20 | ) | = | 123 25 | × | 230 | + | 123 25 | x |
| 254978 | + | 5543 5 | x | + | ( | x | × | 99 20 | ) | = | 5658 5 | + | 123 25 | x |
| 254978 | + | 5543 5 | x | + | x | × | 99 20 | = | 5658 5 | + | 123 25 | x |
| 254978 | + | 22271 20 | x | = | 5658 5 | + | 123 25 | x |
Transposition :
22271 20 | x | − | 123 25 | x | = | 5658 5 | − | 254978 |
Combine the items on the left of the equation:
110863 100 | x | = | 5658 5 | − | 254978 |
Combine the items on the right of the equation:
110863 100 | x | = | - | 1269232 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 1269232 5 | ÷ | 110863 100 |
| = | - | 1269232 5 | × | 100 110863 |
| = | - | 1269232 | × | 20 110863 |
We obtained :
| x | = | - | 25384640 110863 |
Convert the result to decimal form :
| x | = | - 228.973057 |