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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*4*90/0.1963+0.9*9*(1-5*x)*70 = 240.5 .
Question type: Equation
Solution:Original question:
| x | × | 9 10 | × | 680 | ÷ | 1963 10000 | + | 4 | × | 4 | × | 90 | ÷ | 1963 10000 | + | 9 10 | × | 9 | ( | 1 | − | 5 | x | ) | × | 70 | = | 481 2 |
| Left side of the equation = | x | × | 6120000 1963 | + | 14400000 1963 | + | 567 | ( | 1 | − | 5 | x | ) |
6120000 1963 | x | + | 14400000 1963 | + | 567 | ( | 1 | − | 5 | x | ) | = | 481 2 |
| Left side of the equation = | 6120000 1963 | x | + | 14400000 1963 | + | 567 | × | 1 | − | 567 | × | 5 | x |
| = | 6120000 1963 | x | + | 14400000 1963 | + | 567 | − | 2835 | x |
| = | 554895 1963 | x | + | 15513021 1963 |
554895 1963 | x | + | 15513021 1963 | = | 481 2 |
Transposition :
554895 1963 | x | = | 481 2 | − | 15513021 1963 |
Combine the items on the right of the equation:
554895 1963 | x | = | - | 30081839 3926 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 30081839 3926 | ÷ | 554895 1963 |
| = | - | 30081839 3926 | × | 1963 554895 |
| = | - | 30081839 302 | × | 151 554895 |
We obtained :
| x | = | - | 4542357689 167578290 |
By reducing fraction, we can get:
| x | = | - | 30081839 1109790 |
Convert the result to decimal form :
| x | = | - 27.105884 |