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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 x+（x+8)+[(x+4)/4]+4*(x+4) = 625 .
Question type: Equation
Solution:Original question:
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x+（x+8)+[(x+4)/4]+4*(x+4) = 625 .
Question type: Equation
Solution:Original question:
| x | + | ( | x | + | 8 | ) | + | ( | ( | x | + | 4 | ) | ÷ | 4 | ) | + | 4 | ( | x | + | 4 | ) | = | 625 |
| Left side of the equation = | x | + | x | + | 8 | + | ( | ( | x | + | 4 | ) | ÷ | 4 | ) | + | 4 | ( | x | + | 4 | ) |
| = | 2 | x | + | 8 | + | ( | ( | x | + | 4 | ) | ÷ | 4 | ) | + | 4 | ( | x | + | 4 | ) |
| = | 2 | x | + | 8 | + | ( | x | + | 4 | ) | ÷ | 4 | + | 4 | ( | x | + | 4 | ) |
| = | 2 | x | + | 8 | + | x | × | 1 4 | + | 4 | × | 1 4 | + | 4 | ( | x | + | 4 | ) |
| = | 2 | x | + | 8 | + | x | × | 1 4 | + | 1 | + | 4 | ( | x | + | 4 | ) |
| = | 9 4 | x | + | 9 | + | 4 | ( | x | + | 4 | ) |
| = | 9 4 | x | + | 9 | + | 4 | x | + | 4 | × | 4 |
| = | 9 4 | x | + | 9 | + | 4 | x | + | 16 |
| = | 25 4 | x | + | 25 |
25 4 | x | + | 25 | = | 625 |
Transposition :
25 4 | x | = | 625 | − | 25 |
Combine the items on the right of the equation:
25 4 | x | = | 600 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 600 | ÷ | 25 4 |
| = | 600 | × | 4 25 |
| = | 24 | × | 4 |
We obtained :
| x | = | 96 |