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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*0.09022(438-x) .
Question type: Equation
Solution:Original question:
162197 125000 | ( | x | − | 20 | ) | = | 2 | × | 4511 50000 | ( | 438 | − | x | ) |
| Left side of the equation = | 162197 125000 | x | − | 162197 125000 | × | 20 |
| = | 162197 125000 | x | − | 162197 6250 |
162197 125000 | x | − | 162197 6250 | = | 2 | × | 4511 50000 | ( | 438 | − | x | ) |
| Right side of the equation = | 4511 25000 | ( | 438 | − | x | ) |
162197 125000 | x | − | 162197 6250 | = | 4511 25000 | ( | 438 | − | x | ) |
| Right side of the equation = | 4511 25000 | × | 438 | − | 4511 25000 | x |
| = | 987909 12500 | − | 4511 25000 | x |
162197 125000 | x | − | 162197 6250 | = | 987909 12500 | − | 4511 25000 | x |
Transposition :
162197 125000 | x | + | 4511 25000 | x | = | 987909 12500 | + | 162197 6250 |
Combine the items on the left of the equation:
23094 15625 | x | = | 987909 12500 | + | 162197 6250 |
Combine the items on the right of the equation:
23094 15625 | x | = | 1312303 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1312303 12500 | ÷ | 23094 15625 |
| = | 1312303 12500 | × | 15625 23094 |
| = | 1312303 4 | × | 5 23094 |
We obtained :
| x | = | 6561515 92376 |
Convert the result to decimal form :
| x | = | 71.030517 |