Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 0 = 0.41*x（10-0.3）-0.71-0.074*3 .
Question type: Equation
Solution:Original question:
| 0 | = | 41 100 | x | ( | 10 | − | 3 10 | ) | − | 71 100 | − | 37 500 | × | 3 |
| Right side of the equation = | 41 100 | x | ( | 10 | − | 3 10 | ) | − | 71 100 | − | 111 500 |
| = | 41 100 | x | ( | 10 | − | 3 10 | ) | − | 233 250 |
| 0 | = | 41 100 | x | ( | 10 | − | 3 10 | ) | − | 233 250 |
| Right side of the equation = | 41 100 | x | × | 10 | − | 41 100 | x | × | 3 10 | − | 233 250 |
| = | 41 10 | x | − | 123 1000 | x | − | 233 250 |
| = | 3977 1000 | x | − | 233 250 |
| 0 | = | 3977 1000 | x | − | 233 250 |
Transposition :
| - | 3977 1000 | x | = | - | 233 250 | − | 0 |
Combine the items on the right of the equation:
| - | 3977 1000 | x | = | - | 233 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
233 250 | = | 3977 1000 | 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 :
3977 1000 | x | = | 233 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 233 250 | ÷ | 3977 1000 |
| = | 233 250 | × | 1000 3977 |
| = | 233 | × | 4 3977 |
We obtained :
| x | = | 932 3977 |
Convert the result to decimal form :
| x | = | 0.234347 |