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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 848*x = 0.75*(848*x+(512.7-x)*459) .
Question type: Equation
Solution:Original question:
| 848 | x | = | 3 4 | ( | 848 | x | + | ( | 5127 10 | − | x | ) | × | 459 | ) |
| Right side of the equation = | 3 4 | × | 848 | x | + | 3 4 | ( | 5127 10 | − | x | ) | × | 459 |
| = | 636 | x | + | 1377 4 | ( | 5127 10 | − | x | ) |
| = | 636 | x | + | 1377 4 | × | 5127 10 | − | 1377 4 | x |
| = | 636 | x | + | 7059879 40 | − | 1377 4 | x |
| = | 1167 4 | x | + | 7059879 40 |
| 848 | x | = | 1167 4 | x | + | 7059879 40 |
Transposition :
| 848 | x | − | 1167 4 | x | = | 7059879 40 |
Combine the items on the left of the equation:
2225 4 | x | = | 7059879 40 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7059879 40 | ÷ | 2225 4 |
| = | 7059879 40 | × | 4 2225 |
| = | 7059879 10 | × | 1 2225 |
We obtained :
| x | = | 7059879 22250 |
Convert the result to decimal form :
| x | = | 317.297933 |