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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 200×（1+2a%）×100+50×（1+6a%）×160 = 0 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
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 200×（1+2a%）×100+50×（1+6a%）×160 = 0 .
Question type: Equation
Solution:Original question:
| 200 | ( | 1 | + | 2 | a | ) | × | 100 | + | 50 | ( | 1 | + | 6 | a | ) | × | 160 | = | 0 |
| Left side of the equation = | 20000 | ( | 1 | + | 2 | a | ) | + | 8000 | ( | 1 | + | 6 | a | ) |
| 20000 | ( | 1 | + | 2 | a | ) | + | 8000 | ( | 1 | + | 6 | a | ) | = | 0 |
| Left side of the equation = | 20000 | × | 1 | + | 20000 | × | 2 | a | + | 8000 | ( | 1 | + | 6 | a | ) |
| = | 20000 | + | 40000 | a | + | 8000 | ( | 1 | + | 6 | a | ) |
| = | 20000 | + | 40000 | a | + | 8000 | × | 1 | + | 8000 | × | 6 | a |
| = | 20000 | + | 40000 | a | + | 8000 | + | 48000 | a |
| = | 28000 | + | 88000 | a |
| 28000 | + | 88000 | a | = | 0 |
Transposition :
| 88000 | a | = | 0 | − | 28000 |
Combine the items on the right of the equation:
| 88000 | a | = | - | 28000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | - | 28000 | ÷ | 88000 |
| = | - | 28000 | × | 1 88000 |
| = | - | 7 | × | 1 22 |
We obtained :
| a | = | - | 7 22 |
Convert the result to decimal form :
| a | = | - 0.318182 |