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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 (X-40-20)*（1-20%）/800 = (X-40-45)*(1-20%)/800 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
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 left of the equation:
Combine the items on the right of the equation:
Error: This Equation has no solution!!
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (X-40-20)*（1-20%）/800 = (X-40-45)*(1-20%)/800 .
Question type: Equation
Solution:Original question:
| ( | X | − | 40 | − | 20 | ) | ( | 1 | − | 20 100 | ) | ÷ | 800 | = | ( | X | − | 40 | − | 45 | ) | ( | 1 | − | 20 100 | ) | ÷ | 800 |
| Left side of the equation = | X | ( | 1 | − | 20 100 | ) | × | 1 800 | − | 40 | ( | 1 | − | 20 100 | ) | × | 1 800 | − | 20 | ( | 1 | − | 20 100 | ) | × | 1 800 |
| = | X | ( | 1 | − | 20 100 | ) | × | 1 800 | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | X | × | 1 | × | 1 800 | − | X | × | 20 100 | × | 1 800 | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | X | × | 1 800 | − | X | × | 1 4000 | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 20 | × | 1 | + | 1 20 | × | 20 100 | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 20 | + | 1 100 | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 25 | − | 1 40 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 25 | − | 1 40 | × | 1 | + | 1 40 | × | 20 100 |
| = | 1 1000 | X | − | 1 25 | − | 1 40 | + | 1 200 |
| = | 1 1000 | X | − | 3 50 |
1 1000 | X | − | 3 50 | = | ( | X | − | 40 | − | 45 | ) | ( | 1 | − | 20 100 | ) | ÷ | 800 |
| Right side of the equation = | X | ( | 1 | − | 20 100 | ) | × | 1 800 | − | 40 | ( | 1 | − | 20 100 | ) | × | 1 800 | − | 45 | ( | 1 | − | 20 100 | ) | × | 1 800 |
| = | X | ( | 1 | − | 20 100 | ) | × | 1 800 | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | X | × | 1 | × | 1 800 | − | X | × | 20 100 | × | 1 800 | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | X | × | 1 800 | − | X | × | 1 4000 | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 20 | ( | 1 | − | 20 100 | ) | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 20 | × | 1 | + | 1 20 | × | 20 100 | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 20 | + | 1 100 | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 25 | − | 9 160 | ( | 1 | − | 20 100 | ) |
| = | 1 1000 | X | − | 1 25 | − | 9 160 | × | 1 | + | 9 160 | × | 20 100 |
| = | 1 1000 | X | − | 1 25 | − | 9 160 | + | 9 800 |
| = | 1 1000 | X | − | 17 200 |
1 1000 | X | − | 3 50 | = | 1 1000 | X | − | 17 200 |
Transposition :
1 1000 | X | − | 1 1000 | X | = | - | 17 200 | + | 3 50 |
Combine the items on the left of the equation:
| 0 | X | = | - | 17 200 | + | 3 50 |
Combine the items on the right of the equation:
| 0 | X | = | - | 1 40 |
Error: This Equation has no solution!!