Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 （x+95.8）/0.98 = x/0.9+97.47 .
Question type: Equation
Solution:Original question:
| ( | x | + | 479 5 | ) | ÷ | 49 50 | = | x | ÷ | 9 10 | + | 9747 100 |
| Left side of the equation = | x | × | 50 49 | + | 479 5 | × | 50 49 |
| = | x | × | 50 49 | + | 4790 49 |
50 49 | x | + | 4790 49 | = | x | ÷ | 9 10 | + | 9747 100 |
Transposition :
50 49 | x | − | 10 9 | x | = | 9747 100 | − | 4790 49 |
Combine the items on the left of the equation:
| - | 40 441 | x | = | 9747 100 | − | 4790 49 |
Combine the items on the right of the equation:
| - | 40 441 | x | = | - | 1397 4900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1397 4900 | = | 40 441 | 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 :
40 441 | x | = | 1397 4900 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1397 4900 | ÷ | 40 441 |
| = | 1397 4900 | × | 441 40 |
| = | 1397 100 | × | 9 40 |
We obtained :
| x | = | 12573 4000 |
Convert the result to decimal form :
| x | = | 3.14325 |