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 100-(x/5.44)*100 = 0.399 .
Question type: Equation
Solution:Original question:
| 100 | − | ( | x | ÷ | 136 25 | ) | × | 100 | = | 399 1000 |
| Left side of the equation = | 100 | − | x | ÷ | 136 25 | × | 100 |
| = | 100 | − | x | × | 625 34 |
| 100 | − | 625 34 | x | = | 399 1000 |
Transposition :
| - | 625 34 | x | = | 399 1000 | − | 100 |
Combine the items on the right of the equation:
| - | 625 34 | x | = | - | 99601 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
99601 1000 | = | 625 34 | 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 :
625 34 | x | = | 99601 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 99601 1000 | ÷ | 625 34 |
| = | 99601 1000 | × | 34 625 |
| = | 99601 500 | × | 17 625 |
We obtained :
| x | = | 1693217 312500 |
Convert the result to decimal form :
| x | = | 5.418294 |