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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 (113.3+2x)/(113.3+x)-1 = 1.35% .
Question type: Equation
Solution:Original question:
| ( | 1133 10 | + | 2 | x | ) | ÷ | ( | 1133 10 | + | x | ) | − | 1 | = | 27 2000 |
| Multiply both sides of the equation by: | ( | 1133 10 | + | x | ) |
| ( | 1133 10 | + | 2 | x | ) | − | 1 | ( | 1133 10 | + | x | ) | = | 27 2000 | ( | 1133 10 | + | x | ) |
1133 10 | + | 2 | x | − | 1 | ( | 1133 10 | + | x | ) | = | 27 2000 | ( | 1133 10 | + | x | ) |
1133 10 | + | 2 | x | − | 1 | ( | 1133 10 | + | x | ) | = | 27 2000 | × | 1133 10 | + | 27 2000 | x |
1133 10 | + | 2 | x | − | 1 | ( | 1133 10 | + | x | ) | = | 30591 20000 | + | 27 2000 | x |
1133 10 | + | 2 | x | − | 1 | × | 1133 10 | − | 1 | x | = | 30591 20000 | + | 27 2000 | x |
1133 10 | + | 2 | x | − | 1133 10 | − | 1 | x | = | 30591 20000 | + | 27 2000 | x |
| 0 | + | 1 | x | = | 30591 20000 | + | 27 2000 | x |
Transposition :
| 1 | x | − | 27 2000 | x | = | 30591 20000 |
Combine the items on the left of the equation:
1973 2000 | x | = | 30591 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 30591 20000 | ÷ | 1973 2000 |
| = | 30591 20000 | × | 2000 1973 |
| = | 30591 10 | × | 1 1973 |
We obtained :
| x | = | 30591 19730 |
Convert the result to decimal form :
| x | = | 1.550482 |