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 ((179.92+x)*0.03+179.92+x)*0.02 = x .
Question type: Equation
Solution:Original question:
| ( | ( | 4498 25 | + | x | ) | × | 3 100 | + | 4498 25 | + | x | ) | × | 1 50 | = | x |
| Left side of the equation = | ( | 4498 25 | + | x | ) | × | 3 100 | × | 1 50 | + | 4498 25 | × | 1 50 | + | x | × | 1 50 |
| = | ( | 4498 25 | + | x | ) | × | 3 5000 | + | 2249 625 | + | x | × | 1 50 |
| = | 4498 25 | × | 3 5000 | + | x | × | 3 5000 | + | 2249 625 | + | 1 50 | x |
| = | 6747 62500 | + | x | × | 3 5000 | + | 2249 625 | + | 1 50 | x |
| = | 231647 62500 | + | 103 5000 | x |
231647 62500 | + | 103 5000 | x | = | x |
Transposition :
103 5000 | x | − | x | = | - | 231647 62500 |
Combine the items on the left of the equation:
| - | 4897 5000 | x | = | - | 231647 62500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
231647 62500 | = | 4897 5000 | 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 :
4897 5000 | x | = | 231647 62500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 231647 62500 | ÷ | 4897 5000 |
| = | 231647 62500 | × | 5000 4897 |
| = | 231647 25 | × | 2 4897 |
We obtained :
| x | = | 463294 122425 |
Convert the result to decimal form :
| x | = | 3.784309 |