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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 1.125*{0.25x/(0.25x+100)} = 1.7x/(x+100) .
Question type: Equation
Solution:Original question:
9 8 | ( | 1 4 | x | ÷ | ( | 1 4 | x | + | 100 | ) | ) | = | 17 10 | x | ÷ | ( | x | + | 100 | ) |
| Multiply both sides of the equation by: | ( | x | + | 100 | ) |
9 8 | ( | 1 4 | x | ÷ | ( | 1 4 | x | + | 100 | ) | ) | ( | x | + | 100 | ) | = | 17 10 | x |
9 8 | × | 1 4 | x | ÷ | ( | 1 4 | x | + | 100 | ) | × | ( | x | + | 100 | ) | = | 17 10 | x |
9 32 | x | ÷ | ( | 1 4 | x | + | 100 | ) | × | ( | x | + | 100 | ) | = | 17 10 | x |
| Multiply both sides of the equation by: | ( | 1 4 | x | + | 100 | ) |
9 32 | x | ( | x | + | 100 | ) | = | 17 10 | x | ( | 1 4 | x | + | 100 | ) |
9 32 | x | x | + | 9 32 | x | × | 100 | = | 17 10 | x | ( | 1 4 | x | + | 100 | ) |
9 32 | x | x | + | 9 32 | x | × | 100 | = | 17 10 | x | × | 1 4 | x | + | 17 10 | x | × | 100 |
9 32 | x | x | + | 225 8 | x | = | 17 40 | x | x | + | 170 | x |
the solutions is:
x1=0
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》