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 5.815（x-20） = （0.18044（438-x）/0.22314） .
Question type: Equation
Solution:Original question:
1163 200 | ( | x | − | 20 | ) | = | ( | 4511 25000 | ( | 438 | − | x | ) | ÷ | 11157 50000 | ) |
| Left side of the equation = | 1163 200 | x | − | 1163 200 | × | 20 |
| = | 1163 200 | x | − | 1163 10 |
1163 200 | x | − | 1163 10 | = | ( | 4511 25000 | ( | 438 | − | x | ) | ÷ | 11157 50000 | ) |
| Right side of the equation = | 4511 25000 | ( | 438 | − | x | ) | ÷ | 11157 50000 |
| = | 9022 11157 | ( | 438 | − | x | ) |
| = | 9022 11157 | × | 438 | − | 9022 11157 | x |
| = | 1317212 3719 | − | 9022 11157 | x |
1163 200 | x | − | 1163 10 | = | 1317212 3719 | − | 9022 11157 | x |
Transposition :
1163 200 | x | + | 9022 11157 | x | = | 1317212 3719 | + | 1163 10 |
Combine the items on the left of the equation:
14779991 2231400 | x | = | 1317212 3719 | + | 1163 10 |
Combine the items on the right of the equation:
14779991 2231400 | x | = | 17497317 37190 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 17497317 37190 | ÷ | 14779991 2231400 |
| = | 17497317 37190 | × | 2231400 14779991 |
| = | 17497317 3719 | × | 223140 14779991 |
We obtained :
| x | = | 3904351315380 54966786529 |