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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 1414*x = 0.7*(1414*x+(186.6-x)*706) .
Question type: Equation
Solution:Original question:
| 1414 | x | = | 7 10 | ( | 1414 | x | + | ( | 933 5 | − | x | ) | × | 706 | ) |
| Right side of the equation = | 7 10 | × | 1414 | x | + | 7 10 | ( | 933 5 | − | x | ) | × | 706 |
| = | 4949 5 | x | + | 2471 5 | ( | 933 5 | − | x | ) |
| = | 4949 5 | x | + | 2471 5 | × | 933 5 | − | 2471 5 | x |
| = | 4949 5 | x | + | 2305443 25 | − | 2471 5 | x |
| = | 2478 5 | x | + | 2305443 25 |
| 1414 | x | = | 2478 5 | x | + | 2305443 25 |
Transposition :
| 1414 | x | − | 2478 5 | x | = | 2305443 25 |
Combine the items on the left of the equation:
4592 5 | x | = | 2305443 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2305443 25 | ÷ | 4592 5 |
| = | 2305443 25 | × | 5 4592 |
| = | 329349 5 | × | 1 656 |
We obtained :
| x | = | 329349 3280 |
Convert the result to decimal form :
| x | = | 100.41128 |