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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 x = 615+110%*x+（300+1.3*x）/1000+10.99 .
Question type: Equation
Solution:Original question:
| x | = | 615 | + | 110 100 | x | + | ( | 300 | + | 13 10 | x | ) | ÷ | 1000 | + | 1099 100 |
| Right side of the equation = | 62599 100 | + | 110 100 | x | + | ( | 300 | + | 13 10 | x | ) | × | 1 1000 |
| x | = | 62599 100 | + | 110 100 | x | + | ( | 300 | + | 13 10 | x | ) | × | 1 1000 |
| Right side of the equation = | 62599 100 | + | 110 100 | x | + | 300 | × | 1 1000 | + | 13 10 | x | × | 1 1000 |
| = | 62599 100 | + | 110 100 | x | + | 3 10 | + | 13 10000 | x |
| = | 62629 100 | + | 11013 10000 | x |
| x | = | 62629 100 | + | 11013 10000 | x |
Transposition :
| x | − | 11013 10000 | x | = | 62629 100 |
Combine the items on the left of the equation:
| - | 1013 10000 | x | = | 62629 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 62629 100 | = | 1013 10000 | 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 :
1013 10000 | x | = | - | 62629 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 62629 100 | ÷ | 1013 10000 |
| = | - | 62629 100 | × | 10000 1013 |
| = | - | 62629 | × | 100 1013 |
We obtained :
| x | = | - | 6262900 1013 |
Convert the result to decimal form :
| x | = | - 6182.527147 |