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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1.6*9.8)/(0.02-10x) = (8*9.8)/(0.08-x/0.2) .
Question type: Equation
Solution:Original question:
| ( | 8 5 | × | 49 5 | ) | ÷ | ( | 1 50 | − | 10 | x | ) | = | ( | 8 | × | 49 5 | ) | ÷ | ( | 2 25 | − | x | ÷ | 1 5 | ) |
| Multiply both sides of the equation by: | ( | 1 50 | − | 10 | x | ) | , | ( | 2 25 | − | x | ÷ | 1 5 | ) |
| ( | 8 5 | × | 49 5 | ) | ( | 2 25 | − | x | ÷ | 1 5 | ) | = | ( | 8 | × | 49 5 | ) | ( | 1 50 | − | 10 | x | ) |
8 5 | × | 49 5 | ( | 2 25 | − | x | ÷ | 1 5 | ) | = | ( | 8 | × | 49 5 | ) | ( | 1 50 | − | 10 | x | ) |
8 5 | × | 49 5 | ( | 2 25 | − | x | ÷ | 1 5 | ) | = | 8 | × | 49 5 | ( | 1 50 | − | 10 | x | ) |
392 25 | ( | 2 25 | − | x | ÷ | 1 5 | ) | = | 392 5 | ( | 1 50 | − | 10 | x | ) |
392 25 | × | 2 25 | − | 392 25 | x | ÷ | 1 5 | = | 392 5 | ( | 1 50 | − | 10 | x | ) |
392 25 | × | 2 25 | − | 392 25 | x | ÷ | 1 5 | = | 392 5 | × | 1 50 | − | 392 5 | × | 10 | x |
784 625 | − | 392 5 | x | = | 196 125 | − | 784 | x |
Transposition :
| - | 392 5 | x | + | 784 | x | = | 196 125 | − | 784 625 |
Combine the items on the left of the equation:
3528 5 | x | = | 196 125 | − | 784 625 |
Combine the items on the right of the equation:
3528 5 | x | = | 196 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 196 625 | ÷ | 3528 5 |
| = | 196 625 | × | 5 3528 |
| = | 1 125 | × | 1 18 |
We obtained :
| x | = | 1 2250 |
Convert the result to decimal form :
| x | = | 0.000444 |