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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 1.026*x+(1-x)*7.6687 = 6.8472 .
Question type: Equation
Solution:Original question:
513 500 | x | + | ( | 1 | − | x | ) | × | 76687 10000 | = | 8559 1250 |
| Left side of the equation = | 513 500 | x | + | 1 | × | 76687 10000 | − | x | × | 76687 10000 |
| = | 513 500 | x | + | 76687 10000 | − | x | × | 76687 10000 |
| = | - | 66427 10000 | x | + | 76687 10000 |
| - | 66427 10000 | x | + | 76687 10000 | = | 8559 1250 |
Transposition :
| - | 66427 10000 | x | = | 8559 1250 | − | 76687 10000 |
Combine the items on the right of the equation:
| - | 66427 10000 | x | = | - | 1643 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1643 2000 | = | 66427 10000 | 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 :
66427 10000 | x | = | 1643 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1643 2000 | ÷ | 66427 10000 |
| = | 1643 2000 | × | 10000 66427 |
| = | 1643 | × | 5 66427 |
We obtained :
| x | = | 8215 66427 |
Convert the result to decimal form :
| x | = | 0.12367 |