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+10%x+［(x+10%x)*5%］ = 228.7 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x+10%x+［(x+10%x)*5%］ = 228.7 .
Question type: Equation
Solution:Original question:
| x | + | 10 100 | x | + | ( | ( | x | + | 10 100 | x | ) | × | 5 100 | ) | = | 2287 10 |
| Left side of the equation = | 11 10 | x | + | ( | ( | x | + | 10 100 | x | ) | × | 5 100 | ) |
11 10 | x | + | ( | ( | x | + | 10 100 | x | ) | × | 5 100 | ) | = | 2287 10 |
| Left side of the equation = | 11 10 | x | + | ( | x | + | 10 100 | x | ) | × | 5 100 |
| = | 11 10 | x | + | x | × | 5 100 | + | 10 100 | x | × | 5 100 |
| = | 11 10 | x | + | x | × | 5 100 | + | 1 200 | x |
| = | 231 200 | x |
231 200 | x | = | 2287 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2287 10 | ÷ | 231 200 |
| = | 2287 10 | × | 200 231 |
| = | 2287 | × | 20 231 |
We obtained :
| x | = | 45740 231 |
Convert the result to decimal form :
| x | = | 198.008658 |