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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 10/[2.5-x+x（4x-5+2x）/(6x+4x-5+2x)] = 8 .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
The solution of the equation:
x1≈0.458759 , keep 6 decimal places
x2≈0.528312 , keep 6 decimal places
x3≈1.971688 , keep 6 decimal places
x4≈4.541241 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 10/[2.5-x+x（4x-5+2x）/(6x+4x-5+2x)] = 8 .
Question type: Equation
Solution:Original question:
| 10 | ÷ | ( | 5 2 | − | x | + | x | ( | 4 | x | − | 5 | + | 2 | x | ) | ÷ | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | ) | = | 8 |
| Multiply both sides of the equation by: | ( | 5 2 | − | x | + | x | ( | 4 | x | − | 5 | + | 2 | x | ) | ÷ | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | ) |
| 10 | = | 8 | ( | 5 2 | − | x | + | x | ( | 4 | x | − | 5 | + | 2 | x | ) | ÷ | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | ) |
| 10 | = | 8 | × | 5 2 | − | 8 | x | + | 8 | x | ( | 4 | x | − | 5 | + | 2 | x | ) | ÷ | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) |
| 10 | = | 20 | − | 8 | x | + | 8 | x | ( | 4 | x | − | 5 | + | 2 | x | ) | ÷ | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) |
| Multiply both sides of the equation by: | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) |
| 10 | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | = | 20 | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | − | 8 | x | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | + | 8 | x | ( | 4 | x | − | 5 | + | 2 | x | ) |
| 10 | × | 6 | x | + | 10 | × | 4 | x | − | 10 | × | 5 | + | 10 | × | 2 | x | = | 20 | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | − | 8 | x | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | + | 8 | x | ( | 4 | x | − | 5 | + | 2 | x | ) |
| 10 | × | 6 | x | + | 10 | × | 4 | x | − | 10 | × | 5 | + | 10 | × | 2 | x | = | 20 | × | 6 | x | + | 20 | × | 4 | x | − | 20 | × | 5 | + | 20 | × | 2 | x | − | 8 |
| 60 | x | + | 40 | x | − | 50 | + | 20 | x | = | 120 | x | + | 80 | x | − | 100 | + | 40 | x | − | 8 | x | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | + | 8 | x |
| 120 | x | − | 50 | = | 240 | x | − | 100 | − | 8 | x | ( | 6 | x | + | 4 | x | − | 5 | + | 2 | x | ) | + | 8 | x | ( | 4 | x | − | 5 | + | 2 | x | ) |
| 120 | x | − | 50 | = | 240 | x | − | 100 | − | 8 | x | × | 6 | x | − | 8 | x | × | 4 | x | + | 8 |
| 120 | x | − | 50 | = | 240 | x | − | 100 | − | 48 | x | x | − | 32 | x | x | + | 40 | x | − | 16 |
| 120 | x | − | 50 | = | 280 | x | − | 100 | − | 48 | x | x | − | 32 | x | x | − | 16 | x | x |
| 120 | x | − | 50 | = | 280 | x | − | 100 | − | 48 | x | x | − | 32 | x | x | − | 16 | x | x |
| 120 | x | − | 50 | = | 280 | x | − | 100 | − | 48 | x | x | − | 32 | x | x | − | 16 | x | x |
| 120 | x | − | 50 | = | 240 | x | − | 100 | − | 48 | x | x | − | 32 | x | x | − | 16 | x | x |
The solution of the equation:
x1≈0.458759 , keep 6 decimal places
x2≈0.528312 , keep 6 decimal places
x3≈1.971688 , keep 6 decimal places
x4≈4.541241 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》