Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 (17-x)/332 = x/56.2+x/17.1+x/100 .
Question type: Equation
Solution:Original question:
| ( | 17 | − | x | ) | ÷ | 332 | = | x | ÷ | 281 5 | + | x | ÷ | 171 10 | + | x | ÷ | 100 |
| Left side of the equation = | 17 | × | 1 332 | − | x | × | 1 332 |
| = | 17 332 | − | x | × | 1 332 |
17 332 | − | 1 332 | x | = | x | ÷ | 281 5 | + | x | ÷ | 171 10 | + | x | ÷ | 100 |
| Right side of the equation = | 414551 4805100 | x |
17 332 | − | 1 332 | x | = | 414551 4805100 | x |
Transposition :
| - | 1 332 | x | − | 414551 4805100 | x | = | - | 17 332 |
Combine the items on the left of the equation:
| - | 8902252 99705825 | x | = | - | 17 332 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
17 332 | = | 8902252 99705825 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
8902252 99705825 | x | = | 17 332 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 17 332 | ÷ | 8902252 99705825 |
| = | 17 332 | × | 99705825 8902252 |
We obtained :
| x | = | 1694999025 2955547664 |
By reducing fraction, we can get:
| x | = | 20421675 35609008 |
Convert the result to decimal form :
| x | = | 0.573497 |