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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 （69255+x）/（x+69255+100000） = 0.444 .
Question type: Equation
Solution:Original question:
| ( | 69255 | + | x | ) | ÷ | ( | x | + | 69255 | + | 100000 | ) | = | 111 250 |
| Multiply both sides of the equation by: | ( | x | + | 69255 | + | 100000 | ) |
| ( | 69255 | + | x | ) | = | 111 250 | ( | x | + | 69255 | + | 100000 | ) |
| 69255 | + | x | = | 111 250 | ( | x | + | 69255 | + | 100000 | ) |
| 69255 | + | x | = | 111 250 | x | + | 111 250 | × | 69255 | + | 111 250 | × | 100000 |
| 69255 | + | x | = | 111 250 | x | + | 1537461 50 | + | 44400 |
| 69255 | + | x | = | 111 250 | x | + | 3757461 50 |
Transposition :
| x | − | 111 250 | x | = | 3757461 50 | − | 69255 |
Combine the items on the left of the equation:
139 250 | x | = | 3757461 50 | − | 69255 |
Combine the items on the right of the equation:
139 250 | x | = | 294711 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 294711 50 | ÷ | 139 250 |
| = | 294711 50 | × | 250 139 |
| = | 294711 | × | 5 139 |
We obtained :
| x | = | 1473555 139 |
Convert the result to decimal form :
| x | = | 10601.115108 |