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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/2650)+【(x/0.36)－1】/2700 = 0.31 .
Question type: Equation
Solution:Original question:
| ( | x | ÷ | 2650 | ) | + | ( | ( | x | ÷ | 9 25 | ) | − | 1 | ) | ÷ | 2700 | = | 31 100 |
| Left side of the equation = | x | ÷ | 2650 | + | ( | ( | x | ÷ | 9 25 | ) | − | 1 | ) | × | 1 2700 |
| = | 1 2650 | x | + | ( | x | ÷ | 9 25 | ) | × | 1 2700 | − | 1 | × | 1 2700 |
| = | 1 2650 | x | + | ( | x | ÷ | 9 25 | ) | × | 1 2700 | − | 1 2700 |
| = | 1 2650 | x | + | x | ÷ | 9 25 | × | 1 2700 | − | 1 2700 |
| = | 1 2650 | x | + | x | × | 1 972 | − | 1 2700 |
| = | 1811 1287900 | x | − | 1 2700 |
1811 1287900 | x | − | 1 2700 | = | 31 100 |
Transposition :
1811 1287900 | x | = | 31 100 | + | 1 2700 |
Combine the items on the right of the equation:
1811 1287900 | x | = | 419 1350 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 419 1350 | ÷ | 1811 1287900 |
| = | 419 1350 | × | 1287900 1811 |
| = | 419 | × | 954 1811 |
We obtained :
| x | = | 399726 1811 |
Convert the result to decimal form :
| x | = | 220.721149 |