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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）/119.16 .
Question type: Equation
Solution:Original question:
| ( | 17473 20 | − | 175253 200 | ) | ÷ | 267 2 | = | ( | 175253 200 | − | Z | ) | ÷ | 2979 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 | ) | ÷ | 2979 25 |
| Right side of the equation = | 175253 200 | × | 25 2979 | − | Z | × | 25 2979 |
| = | 175253 23832 | − | Z | × | 25 2979 |
| - | 523 26700 | = | 175253 23832 | − | 25 2979 | Z |
Transposition :
25 2979 | Z | = | 175253 23832 | + | 523 26700 |
Combine the items on the right of the equation:
25 2979 | Z | = | 390976603 53026200 |
The coefficient of the unknown number is reduced to 1 :
| Z | = | 390976603 53026200 | ÷ | 25 2979 |
| = | 390976603 53026200 | × | 2979 25 |
| = | 390976603 5891800 | × | 331 25 |
We obtained :
| Z | = | 129413255593 147295000 |