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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 (1.1085*4144.96)+(1.0765*x) = 1.0999*(4144.96+x) .
Question type: Equation
Solution:Original question:
| ( | 2217 2000 | × | 103624 25 | ) | + | ( | 2153 2000 | x | ) | = | 10999 10000 | ( | 103624 25 | + | x | ) |
| Left side of the equation = | 2217 2000 | × | 103624 25 | + | ( | 2153 2000 | x | ) |
| = | 28716801 6250 | + | ( | 2153 2000 | x | ) |
| = | 28716801 6250 | + | 2153 2000 | x |
28716801 6250 | + | 2153 2000 | x | = | 10999 10000 | ( | 103624 25 | + | x | ) |
| Right side of the equation = | 10999 10000 | × | 103624 25 | + | 10999 10000 | x |
| = | 142470047 31250 | + | 10999 10000 | x |
28716801 6250 | + | 2153 2000 | x | = | 142470047 31250 | + | 10999 10000 | x |
Transposition :
2153 2000 | x | − | 10999 10000 | x | = | 142470047 31250 | − | 28716801 6250 |
Combine the items on the left of the equation:
| - | 117 5000 | x | = | 142470047 31250 | − | 28716801 6250 |
Combine the items on the right of the equation:
| - | 117 5000 | x | = | - | 556979 15625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
556979 15625 | = | 117 5000 | 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 :
117 5000 | x | = | 556979 15625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 556979 15625 | ÷ | 117 5000 |
| = | 556979 15625 | × | 5000 117 |
| = | 556979 25 | × | 8 117 |
We obtained :
| x | = | 4455832 2925 |
Convert the result to decimal form :
| x | = | 1523.361368 |