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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 （120+x）0.9004 = 1.8040x .
Question type: Equation
Solution:Original question:
| ( | 120 | + | x | ) | × | 2251 2500 | = | 451 250 | x |
| Left side of the equation = | 120 | × | 2251 2500 | + | x | × | 2251 2500 |
| = | 13506 125 | + | x | × | 2251 2500 |
13506 125 | + | 2251 2500 | x | = | 451 250 | x |
Transposition :
2251 2500 | x | − | 451 250 | x | = | - | 13506 125 |
Combine the items on the left of the equation:
| - | 2259 2500 | x | = | - | 13506 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
13506 125 | = | 2259 2500 | 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 :
2259 2500 | x | = | 13506 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 13506 125 | ÷ | 2259 2500 |
| = | 13506 125 | × | 2500 2259 |
| = | 4502 | × | 20 753 |
We obtained :
| x | = | 90040 753 |
Convert the result to decimal form :
| x | = | 119.575033 |