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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 （12.25*17.89+24.99*14.11+27.87*x）/65.11 = 11.95 .
Question type: Equation
Solution:Original question:
| ( | 49 4 | × | 1789 100 | + | 2499 100 | × | 1411 100 | + | 2787 100 | x | ) | ÷ | 6511 100 | = | 239 20 |
| Left side of the equation = | 49 4 | × | 1789 100 | × | 100 6511 | + | 2499 100 | × | 1411 100 | × | 100 6511 | + | 2787 100 | x | × | 100 6511 |
| = | 87661 26044 | + | 207417 38300 | + | 2787 6511 | x |
| = | 2858807 325550 | + | 2787 6511 | x |
2858807 325550 | + | 2787 6511 | x | = | 239 20 |
Transposition :
2787 6511 | x | = | 239 20 | − | 2858807 325550 |
Combine the items on the right of the equation:
2787 6511 | x | = | 2063031 651100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2063031 651100 | ÷ | 2787 6511 |
| = | 2063031 651100 | × | 6511 2787 |
| = | 687677 38300 | × | 383 929 |
We obtained :
| x | = | 263380291 35580700 |
By reducing fraction, we can get:
| x | = | 687677 92900 |
Convert the result to decimal form :
| x | = | 7.402336 |