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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 (521-x)/105 = (374-2x)/74 .
Question type: Equation
Solution:Original question:
| ( | 521 | − | x | ) | ÷ | 105 | = | ( | 374 | − | 2 | x | ) | ÷ | 74 |
| Left side of the equation = | 521 | × | 1 105 | − | x | × | 1 105 |
| = | 521 105 | − | x | × | 1 105 |
521 105 | − | 1 105 | x | = | ( | 374 | − | 2 | x | ) | ÷ | 74 |
| Right side of the equation = | 374 | × | 1 74 | − | 2 | x | × | 1 74 |
| = | 187 37 | − | 1 37 | x |
521 105 | − | 1 105 | x | = | 187 37 | − | 1 37 | x |
Transposition :
| - | 1 105 | x | + | 1 37 | x | = | 187 37 | − | 521 105 |
Combine the items on the left of the equation:
68 3885 | x | = | 187 37 | − | 521 105 |
Combine the items on the right of the equation:
68 3885 | x | = | 358 3885 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 358 3885 | ÷ | 68 3885 |
| = | 358 3885 | × | 3885 68 |
| = | 179 | × | 1 34 |
We obtained :
| x | = | 179 34 |
Convert the result to decimal form :
| x | = | 5.264706 |