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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 77.5%x-(110821-x)*0.1 = 82840.8 .
Question type: Equation
Solution:Original question:
155 200 | x | − | ( | 110821 | − | x | ) | × | 1 10 | = | 414204 5 |
| Left side of the equation = | 155 200 | x | − | 110821 | × | 1 10 | + | x | × | 1 10 |
| = | 155 200 | x | − | 110821 10 | + | x | × | 1 10 |
| = | 7 8 | x | − | 110821 10 |
7 8 | x | − | 110821 10 | = | 414204 5 |
Transposition :
7 8 | x | = | 414204 5 | + | 110821 10 |
Combine the items on the right of the equation:
7 8 | x | = | 939229 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 939229 10 | ÷ | 7 8 |
| = | 939229 10 | × | 8 7 |
| = | 939229 5 | × | 4 7 |
We obtained :
| x | = | 3756916 35 |
Convert the result to decimal form :
| x | = | 107340.457143 |