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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 （x-0.06）/（0.08-0.06） = （900-1120.412）/（897.949-1120.412） .
Question type: Equation
Solution:Original question:
| ( | x | − | 3 50 | ) | ÷ | ( | 2 25 | − | 3 50 | ) | = | ( | 900 | − | 280103 250 | ) | ÷ | ( | 897949 1000 | − | 280103 250 | ) |
| Multiply both sides of the equation by: | ( | 2 25 | − | 3 50 | ) | , | ( | 897949 1000 | − | 280103 250 | ) |
| ( | x | − | 3 50 | ) | ( | 897949 1000 | − | 280103 250 | ) | = | ( | 900 | − | 280103 250 | ) | ( | 2 25 | − | 3 50 | ) |
| x | ( | 897949 1000 | − | 280103 250 | ) | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | ( | 900 | − | 280103 250 | ) | ( | 2 25 | − | 3 50 | ) |
| x | ( | 897949 1000 | − | 280103 250 | ) | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 900 | ( | 2 25 | − | 3 50 | ) | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| x | × | 897949 1000 | − | x | × | 280103 250 | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 900 | ( | 2 25 | − | 3 50 | ) | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| x | × | 897949 1000 | − | x | × | 280103 250 | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 900 | × | 2 25 | − | 900 | × | 3 50 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| x | × | 897949 1000 | − | x | × | 280103 250 | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 72 | − | 54 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| - | 222463 1000 | x | − | 3 50 | ( | 897949 1000 | − | 280103 250 | ) | = | 18 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| - | 222463 1000 | x | − | 3 50 | × | 897949 1000 | + | 3 50 | × | 280103 250 | = | 18 | − | 280103 250 | ( | 2 25 | − | 3 50 | ) |
| - | 222463 1000 | x | − | 3 50 | × | 897949 1000 | + | 3 50 | × | 280103 250 | = | 18 | − | 280103 250 | × | 2 25 | + | 280103 250 | × | 3 50 |
| - | 222463 1000 | x | − | 2693847 50000 | + | 840309 12500 | = | 18 | − | 280103 3125 | + | 840309 12500 |
| - | 222463 1000 | x | + | 667389 50000 | = | - | 55103 12500 |
Transposition :
| - | 222463 1000 | x | = | - | 55103 12500 | − | 667389 50000 |
x≈0.079816 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》