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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 （873.65-876.265）/133.5 = （876.265-Z）/101.88 .
Question type: Equation
Solution:Original question:
| ( | 17473 20 | − | 175253 200 | ) | ÷ | 267 2 | = | ( | 175253 200 | − | Z | ) | ÷ | 2547 25 |
| Left side of the equation = | 17473 20 | × | 2 267 | − | 175253 200 | × | 2 267 |
| = | 17473 2670 | − | 175253 26700 |
| = | - | 523 26700 |
| - | 523 26700 | = | ( | 175253 200 | − | Z | ) | ÷ | 2547 25 |
| Right side of the equation = | 175253 200 | × | 25 2547 | − | Z | × | 25 2547 |
| = | 175253 20376 | − | Z | × | 25 2547 |
| - | 523 26700 | = | 175253 20376 | − | 25 2547 | Z |
Transposition :
25 2547 | Z | = | 175253 20376 | + | 523 26700 |
Combine the items on the right of the equation:
25 2547 | Z | = | 390825979 45336600 |
The coefficient of the unknown number is reduced to 1 :
| Z | = | 390825979 45336600 | ÷ | 25 2547 |
| = | 390825979 45336600 | × | 2547 25 |
| = | 390825979 5037400 | × | 283 25 |
We obtained :
| Z | = | 110603752057 125935000 |