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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 9*(16.972-9*x)/5+17.8*x = 35.392 .
Question type: Equation
Solution:Original question:
| 9 | ( | 4243 250 | − | 9 | x | ) | ÷ | 5 | + | 89 5 | x | = | 4424 125 |
| Left side of the equation = | 9 5 | ( | 4243 250 | − | 9 | x | ) | + | 89 5 | x |
9 5 | ( | 4243 250 | − | 9 | x | ) | + | 89 5 | x | = | 4424 125 |
| Left side of the equation = | 9 5 | × | 4243 250 | − | 9 5 | × | 9 | x | + | 89 5 | x |
| = | 38187 1250 | − | 81 5 | x | + | 89 5 | x |
| = | 38187 1250 | + | 8 5 | x |
38187 1250 | + | 8 5 | x | = | 4424 125 |
Transposition :
8 5 | x | = | 4424 125 | − | 38187 1250 |
Combine the items on the right of the equation:
8 5 | x | = | 6053 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6053 1250 | ÷ | 8 5 |
| = | 6053 1250 | × | 5 8 |
| = | 6053 250 | × | 1 8 |
We obtained :
| x | = | 6053 2000 |
Convert the result to decimal form :
| x | = | 3.0265 |