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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 [(4.5+x)/1.06-0.441]/0.7*0.3-0.441 = X .
Question type: Equation
Solution:Original question:
| ( | ( | 9 2 | + | x | ) | ÷ | 53 50 | − | 441 1000 | ) | ÷ | 7 10 | × | 3 10 | − | 441 1000 | = | x |
| Left side of the equation = | ( | ( | 9 2 | + | x | ) | ÷ | 53 50 | − | 441 1000 | ) | × | 3 7 | − | 441 1000 |
| ( | ( | 9 2 | + | x | ) | ÷ | 53 50 | − | 441 1000 | ) | × | 3 7 | − | 441 1000 | = | x |
| Left side of the equation = | ( | 9 2 | + | x | ) | ÷ | 53 50 | × | 3 7 | − | 441 1000 | × | 3 7 | − | 441 1000 |
| = | ( | 9 2 | + | x | ) | × | 150 371 | − | 189 1000 | − | 441 1000 |
| = | ( | 9 2 | + | x | ) | × | 150 371 | − | 63 100 |
| = | 9 2 | × | 150 371 | + | x | × | 150 371 | − | 63 100 |
| = | 675 371 | + | x | × | 150 371 | − | 63 100 |
| = | 44127 37100 | + | 150 371 | x |
44127 37100 | + | 150 371 | x | = | x |
Transposition :
150 371 | x | − | x | = | - | 44127 37100 |
Combine the items on the left of the equation:
| - | 221 371 | x | = | - | 44127 37100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
44127 37100 | = | 221 371 | 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 :
221 371 | x | = | 44127 37100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 44127 37100 | ÷ | 221 371 |
| = | 44127 37100 | × | 371 221 |
| = | 44127 100 | × | 1 221 |
We obtained :
| x | = | 44127 22100 |
Convert the result to decimal form :
| x | = | 1.996697 |