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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 10（1/x+1/40） = 1-1/4 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 10（1/x+1/40） = 1-1/4 .
Question type: Equation
Solution:Original question:
| 10 | ( | 1 | ÷ | x | + | 1 | ÷ | 40 | ) | = | 1 | − | 1 | ÷ | 4 |
| 10 | × | 1 | ÷ | x | + | 10 | × | 1 | ÷ | 40 | = | 1 | − | 1 | ÷ | 4 |
| 10 | ÷ | x | + | 1 4 | = | 1 | − | 1 4 |
| 10 | ÷ | x | + | 1 4 | = | 3 4 |
| Multiply both sides of the equation by: | x |
| 10 | + | 1 4 | x | = | 3 4 | x |
Transposition :
1 4 | x | − | 3 4 | x | = | - | 10 |
Combine the items on the left of the equation:
| - | 1 2 | x | = | - | 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 10 | = | 1 2 | 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 :
1 2 | x | = | 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10 | ÷ | 1 2 |
| = | 10 | × | 2 |
We obtained :
| x | = | 20 |