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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 1.297576(x-20) = 2*0.1296(438-x) .
Question type: Equation
Solution:Original question:
162197 125000 | ( | x | − | 20 | ) | = | 2 | × | 81 625 | ( | 438 | − | x | ) |
| Left side of the equation = | 162197 125000 | x | − | 162197 125000 | × | 20 |
| = | 162197 125000 | x | − | 162197 6250 |
162197 125000 | x | − | 162197 6250 | = | 2 | × | 81 625 | ( | 438 | − | x | ) |
| Right side of the equation = | 162 625 | ( | 438 | − | x | ) |
162197 125000 | x | − | 162197 6250 | = | 162 625 | ( | 438 | − | x | ) |
| Right side of the equation = | 162 625 | × | 438 | − | 162 625 | x |
| = | 70956 625 | − | 162 625 | x |
162197 125000 | x | − | 162197 6250 | = | 70956 625 | − | 162 625 | x |
Transposition :
162197 125000 | x | + | 162 625 | x | = | 70956 625 | + | 162197 6250 |
Combine the items on the left of the equation:
194597 125000 | x | = | 70956 625 | + | 162197 6250 |
Combine the items on the right of the equation:
194597 125000 | x | = | 871757 6250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 871757 6250 | ÷ | 194597 125000 |
| = | 871757 6250 | × | 125000 194597 |
| = | 871757 | × | 20 194597 |
We obtained :
| x | = | 17435140 194597 |
Convert the result to decimal form :
| x | = | 89.59614 |