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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 x*0.9*680/0.1963+4*x*90/0.1963+0.9*(1-5*x)*70 = 240.5 .
Question type: Equation
Solution:Original question:
| x | × | 9 10 | × | 680 | ÷ | 1963 10000 | + | 4 | x | × | 90 | ÷ | 1963 10000 | + | 9 10 | ( | 1 | − | 5 | x | ) | × | 70 | = | 481 2 |
| Left side of the equation = | x | × | 6120000 1963 | + | 3600000 1963 | x | + | 63 | ( | 1 | − | 5 | x | ) |
| = | 9720000 1963 | x | + | 63 | ( | 1 | − | 5 | x | ) |
9720000 1963 | x | + | 63 | ( | 1 | − | 5 | x | ) | = | 481 2 |
| Left side of the equation = | 9720000 1963 | x | + | 63 | × | 1 | − | 63 | × | 5 | x |
| = | 9720000 1963 | x | + | 63 | − | 315 | x |
| = | 9101655 1963 | x | + | 63 |
9101655 1963 | x | + | 63 | = | 481 2 |
Transposition :
9101655 1963 | x | = | 481 2 | − | 63 |
Combine the items on the right of the equation:
9101655 1963 | x | = | 355 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 355 2 | ÷ | 9101655 1963 |
| = | 355 2 | × | 1963 9101655 |
| = | 71 2 | × | 1963 1820331 |
We obtained :
| x | = | 139373 3640662 |
Convert the result to decimal form :
| x | = | 0.038282 |