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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 632/（x+7.05） = 85/x*0.8 .
Question type: Equation
Solution:Original question:
| 632 | ÷ | ( | x | + | 141 20 | ) | = | 85 | ÷ | x | × | 4 5 |
| Multiply both sides of the equation by: | ( | x | + | 141 20 | ) | , | x |
| 632 | x | = | 85 | × | 4 5 | ( | x | + | 141 20 | ) |
| 632 | x | = | 85 | × | 4 5 | x | + | 85 | × | 4 5 | × | 141 20 |
| 632 | x | = | 68 | x | + | 2397 5 |
Transposition :
| 632 | x | − | 68 | x | = | 2397 5 |
Combine the items on the left of the equation:
| 564 | x | = | 2397 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2397 5 | ÷ | 564 |
| = | 2397 5 | × | 1 564 |
| = | 799 5 | × | 1 188 |
We obtained :
| x | = | 799 940 |
By reducing fraction, we can get:
| x | = | 17 20 |
Convert the result to decimal form :
| x | = | 0.85 |