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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*0.1226(438-x) .
Question type: Equation
Solution:Original question:
162197 125000 | ( | x | − | 20 | ) | = | 2 | × | 613 5000 | ( | 438 | − | x | ) |
| Left side of the equation = | 162197 125000 | x | − | 162197 125000 | × | 20 |
| = | 162197 125000 | x | − | 162197 6250 |
162197 125000 | x | − | 162197 6250 | = | 2 | × | 613 5000 | ( | 438 | − | x | ) |
| Right side of the equation = | 613 2500 | ( | 438 | − | x | ) |
162197 125000 | x | − | 162197 6250 | = | 613 2500 | ( | 438 | − | x | ) |
| Right side of the equation = | 613 2500 | × | 438 | − | 613 2500 | x |
| = | 134247 1250 | − | 613 2500 | x |
162197 125000 | x | − | 162197 6250 | = | 134247 1250 | − | 613 2500 | x |
Transposition :
162197 125000 | x | + | 613 2500 | x | = | 134247 1250 | + | 162197 6250 |
Combine the items on the left of the equation:
192847 125000 | x | = | 134247 1250 | + | 162197 6250 |
Combine the items on the right of the equation:
192847 125000 | x | = | 416716 3125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 416716 3125 | ÷ | 192847 125000 |
| = | 416716 3125 | × | 125000 192847 |
| = | 416716 | × | 40 192847 |
We obtained :
| x | = | 16668640 192847 |
Convert the result to decimal form :
| x | = | 86.434531 |