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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 (1108*4.89+5x-(7*5+4))/1100+x-8 = 4.9 .
Question type: Equation
Solution:Original question:
| ( | 1108 | × | 489 100 | + | 5 | x | − | ( | 7 | × | 5 | + | 4 | ) | ) | ÷ | 1100 | + | x | − | 8 | = | 49 10 |
| Left side of the equation = | 1108 | × | 489 100 | × | 1 1100 | + | 5 | x | × | 1 1100 | − | ( | 7 | × | 5 | + | 4 | ) | × | 1 1100 | + | x | − | 8 |
| = | 135453 27500 | + | 1 220 | x | − | ( | 7 | × | 5 | + | 4 | ) | × | 1 1100 | + | x | − | 8 |
| = | - | 84547 27500 | + | 221 220 | x | − | ( | 7 | × | 5 | + | 4 | ) | × | 1 1100 |
| = | - | 84547 27500 | + | 221 220 | x | − | 7 | × | 5 | × | 1 1100 | − | 4 | × | 1 1100 |
| = | - | 84547 27500 | + | 221 220 | x | − | 7 220 | − | 1 275 |
| = | - | 42761 13750 | + | 221 220 | x |
| - | 42761 13750 | + | 221 220 | x | = | 49 10 |
Transposition :
221 220 | x | = | 49 10 | + | 42761 13750 |
Combine the items on the right of the equation:
221 220 | x | = | 55068 6875 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 55068 6875 | ÷ | 221 220 |
| = | 55068 6875 | × | 220 221 |
| = | 4236 125 | × | 4 17 |
We obtained :
| x | = | 16944 2125 |
Convert the result to decimal form :
| x | = | 7.973647 |