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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 561.58 = x*2550+(1-x)*137.72 .
Question type: Equation
Solution:Original question:
28079 50 | = | x | × | 2550 | + | ( | 1 | − | x | ) | × | 3443 25 |
| Right side of the equation = | 2550 | x | + | 1 | × | 3443 25 | − | x | × | 3443 25 |
| = | 2550 | x | + | 3443 25 | − | x | × | 3443 25 |
| = | 60307 25 | x | + | 3443 25 |
28079 50 | = | 60307 25 | x | + | 3443 25 |
Transposition :
| - | 60307 25 | x | = | 3443 25 | − | 28079 50 |
Combine the items on the right of the equation:
| - | 60307 25 | x | = | - | 21193 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
21193 50 | = | 60307 25 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
60307 25 | x | = | 21193 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 21193 50 | ÷ | 60307 25 |
| = | 21193 50 | × | 25 60307 |
| = | 21193 2 | × | 1 60307 |
We obtained :
| x | = | 21193 120614 |
Convert the result to decimal form :
| x | = | 0.175709 |