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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 (8.21x-0.6x)+(8.21x-0.6x)+(8.21x-0.6x) = 500 .
Question type: Equation
Solution:Original question:
| ( | 821 100 | x | − | 3 5 | x | ) | + | ( | 821 100 | x | − | 3 5 | x | ) | + | ( | 821 100 | x | − | 3 5 | x | ) | = | 500 |
| Left side of the equation = | 821 100 | x | − | 3 5 | x | + | ( | 821 100 | x | − | 3 5 | x | ) | + | ( | 821 100 | x | − | 3 5 | x | ) |
| = | 761 100 | x | + | ( | 821 100 | x | − | 3 5 | x | ) | + | ( | 821 100 | x | − | 3 5 | x | ) |
| = | 761 100 | x | + | 821 100 | x | − | 3 5 | x | + | ( | 821 100 | x | − | 3 5 | x | ) |
| = | 761 50 | x | + | ( | 821 100 | x | − | 3 5 | x | ) |
| = | 761 50 | x | + | 821 100 | x | − | 3 5 | x |
| = | 2283 100 | x |
2283 100 | x | = | 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 500 | ÷ | 2283 100 |
| = | 500 | × | 100 2283 |
We obtained :
| x | = | 50000 2283 |
Convert the result to decimal form :
| x | = | 21.901007 |