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It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （423-x）/x*100% = 59% .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （423-x）/x*100% = 59% .
Question type: Equation
Solution:Original question:
| ( | 423 | − | x | ) | ÷ | x | × | 100 100 | = | 59 100 |
| Multiply both sides of the equation by: | x |
| ( | 423 | − | x | ) | × | 100 100 | = | 59 100 | x |
| 423 | × | 100 100 | − | x | × | 100 100 | = | 59 100 | x |
| 423 | − | x | × | 100 100 | = | 59 100 | x |
Transposition :
| - | 100 100 | x | − | 59 100 | x | = | - | 423 |
Combine the items on the left of the equation:
| - | 159 100 | x | = | - | 423 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 423 | = | 159 100 | 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 :
159 100 | x | = | 423 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 423 | ÷ | 159 100 |
| = | 423 | × | 100 159 |
| = | 141 | × | 100 53 |
We obtained :
| x | = | 14100 53 |
Convert the result to decimal form :
| x | = | 266.037736 |