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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 5.5×8.99+12.19x = （5.5+x）×9.92 .
Question type: Equation
Solution:Original question:
11 2 | × | 899 100 | + | 1219 100 | x | = | ( | 11 2 | + | x | ) | × | 248 25 |
| Left side of the equation = | 9889 200 | + | 1219 100 | x |
9889 200 | + | 1219 100 | x | = | ( | 11 2 | + | x | ) | × | 248 25 |
| Right side of the equation = | 11 2 | × | 248 25 | + | x | × | 248 25 |
| = | 1364 25 | + | x | × | 248 25 |
9889 200 | + | 1219 100 | x | = | 1364 25 | + | 248 25 | x |
Transposition :
1219 100 | x | − | 248 25 | x | = | 1364 25 | − | 9889 200 |
Combine the items on the left of the equation:
227 100 | x | = | 1364 25 | − | 9889 200 |
Combine the items on the right of the equation:
227 100 | x | = | 1023 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1023 200 | ÷ | 227 100 |
| = | 1023 200 | × | 100 227 |
| = | 1023 2 | × | 1 227 |
We obtained :
| x | = | 1023 454 |
Convert the result to decimal form :
| x | = | 2.253304 |