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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-80）0.7 = （3+x-70）0.6 .
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:
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-80）0.7 = （3+x-70）0.6 .
Question type: Equation
Solution:Original question:
| ( | x | − | 80 | ) | × | 7 10 | = | ( | 3 | + | x | − | 70 | ) | × | 3 5 |
| Left side of the equation = | x | × | 7 10 | − | 80 | × | 7 10 |
| = | x | × | 7 10 | − | 56 |
7 10 | x | − | 56 | = | ( | 3 | + | x | − | 70 | ) | × | 3 5 |
| Right side of the equation = | 3 | × | 3 5 | + | x | × | 3 5 | − | 70 | × | 3 5 |
| = | 9 5 | + | x | × | 3 5 | − | 42 |
| = | - | 201 5 | + | 3 5 | x |
7 10 | x | − | 56 | = | - | 201 5 | + | 3 5 | x |
Transposition :
7 10 | x | − | 3 5 | x | = | - | 201 5 | + | 56 |
Combine the items on the left of the equation:
1 10 | x | = | - | 201 5 | + | 56 |
Combine the items on the right of the equation:
1 10 | x | = | 79 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 79 5 | ÷ | 1 10 |
| = | 79 5 | × | 10 |
| = | 79 | × | 2 |
We obtained :
| x | = | 158 |