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 (x+400)-5%×(x+400)-473.09 = 2685.66 .
Question type: Equation
Solution:Original question:
| ( | x | + | 400 | ) | − | 5 100 | ( | x | + | 400 | ) | − | 47309 100 | = | 134283 50 |
| Left side of the equation = | x | + | 400 | − | 5 100 | ( | x | + | 400 | ) | − | 47309 100 |
| = | x | − | 7309 100 | − | 5 100 | ( | x | + | 400 | ) |
| = | x | − | 7309 100 | − | 5 100 | x | − | 5 100 | × | 400 |
| = | x | − | 7309 100 | − | 5 100 | x | − | 20 |
| = | 19 20 | x | − | 9309 100 |
19 20 | x | − | 9309 100 | = | 134283 50 |
Transposition :
19 20 | x | = | 134283 50 | + | 9309 100 |
Combine the items on the right of the equation:
19 20 | x | = | 11115 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11115 4 | ÷ | 19 20 |
| = | 11115 4 | × | 20 19 |
| = | 585 | × | 5 |
We obtained :
| x | = | 2925 |