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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 40*80 = 80x+78(40-x) .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right 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 40*80 = 80x+78(40-x) .
Question type: Equation
Solution:Original question:
| 40 | × | 80 | = | 80 | x | + | 78 | ( | 40 | − | x | ) |
| Left side of the equation = | 3200 |
| 3200 | = | 80 | x | + | 78 | ( | 40 | − | x | ) |
| Right side of the equation = | 80 | x | + | 78 | × | 40 | − | 78 | x |
| = | 80 | x | + | 3120 | − | 78 | x |
| = | 2 | x | + | 3120 |
| 3200 | = | 2 | x | + | 3120 |
Transposition :
| - | 2 | x | = | 3120 | − | 3200 |
Combine the items on the right of the equation:
| - | 2 | x | = | - | 80 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 80 | = | 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 :
| 2 | x | = | 80 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 80 | ÷ | 2 |
| = | 80 | × | 1 2 |
| = | 40 | × | 1 |
We obtained :
| x | = | 40 |