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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 (15.05-x)/1000+(x-0.95)/30 = (16-x)/7.5 .
Question type: Equation
Solution:Original question:
| ( | 301 20 | − | x | ) | ÷ | 1000 | + | ( | x | − | 19 20 | ) | ÷ | 30 | = | ( | 16 | − | x | ) | ÷ | 15 2 |
| Left side of the equation = | 301 20 | × | 1 1000 | − | x | × | 1 1000 | + | ( | x | − | 19 20 | ) | × | 1 30 |
| = | 301 20000 | − | x | × | 1 1000 | + | ( | x | − | 19 20 | ) | × | 1 30 |
| = | 301 20000 | − | 1 1000 | x | + | x | × | 1 30 | − | 19 20 | × | 1 30 |
| = | 301 20000 | − | 1 1000 | x | + | x | × | 1 30 | − | 19 600 |
| = | - | 997 60000 | + | 97 3000 | x |
| - | 997 60000 | + | 97 3000 | x | = | ( | 16 | − | x | ) | ÷ | 15 2 |
| Right side of the equation = | 16 | × | 2 15 | − | x | × | 2 15 |
| = | 32 15 | − | x | × | 2 15 |
| - | 997 60000 | + | 97 3000 | x | = | 32 15 | − | 2 15 | x |
Transposition :
97 3000 | x | + | 2 15 | x | = | 32 15 | + | 997 60000 |
Combine the items on the left of the equation:
497 3000 | x | = | 32 15 | + | 997 60000 |
Combine the items on the right of the equation:
497 3000 | x | = | 42999 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 42999 20000 | ÷ | 497 3000 |
| = | 42999 20000 | × | 3000 497 |
| = | 42999 20 | × | 3 497 |
We obtained :
| x | = | 128997 9940 |
Convert the result to decimal form :
| x | = | 12.977565 |