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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 1916*x = 0.7*(1916*x+(174.9-x)*731) .
Question type: Equation
Solution:Original question:
| 1916 | x | = | 7 10 | ( | 1916 | x | + | ( | 1749 10 | − | x | ) | × | 731 | ) |
| Right side of the equation = | 7 10 | × | 1916 | x | + | 7 10 | ( | 1749 10 | − | x | ) | × | 731 |
| = | 6706 5 | x | + | 5117 10 | ( | 1749 10 | − | x | ) |
| = | 6706 5 | x | + | 5117 10 | × | 1749 10 | − | 5117 10 | x |
| = | 6706 5 | x | + | 8949633 100 | − | 5117 10 | x |
| = | 1659 2 | x | + | 8949633 100 |
| 1916 | x | = | 1659 2 | x | + | 8949633 100 |
Transposition :
| 1916 | x | − | 1659 2 | x | = | 8949633 100 |
Combine the items on the left of the equation:
2173 2 | x | = | 8949633 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8949633 100 | ÷ | 2173 2 |
| = | 8949633 100 | × | 2 2173 |
| = | 8949633 50 | × | 1 2173 |
We obtained :
| x | = | 8949633 108650 |
By reducing fraction, we can get:
| x | = | 168861 2050 |
Convert the result to decimal form :
| x | = | 82.37122 |