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 (8224-x)×(1+6.5%) = x .
Question type: Equation
Solution:Original question:
| ( | 8224 | - | x | ) | ( | 1 | + | 13 200 | ) | = | x |
| Left side of the equation = | 8224 | ( | 1 | + | 13 200 | ) | - | x | ( | 1 | + | 13 200 | ) |
| = | 8224 | × | 1 | + | 8224 | × | 13 200 | - | x | ( | 1 | + | 13 200 | ) |
| = | 8224 | + | 13364 25 | - | x | ( | 1 | + | 13 200 | ) |
| = | 218964 25 | - | x | ( | 1 | + | 13 200 | ) |
| = | 218964 25 | - | x | × | 1 | - | x | × | 13 200 |
| = | 218964 25 | - | 213 200 | x |
218964 25 | - | 213 200 | x | = | x |
Transposition :
| - | 213 200 | x | - | x | = | - | 218964 25 |
Combine the items on the left of the equation:
| - | 413 200 | x | = | - | 218964 25 |
Multiply both sides of the equation by -1 :
413 200 | x | = | 218964 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 218964 25 | ÷ | 413 200 |
| = | 218964 25 | × | 200 413 |
| = | 218964 | × | 8 413 |
Get the solution of the equation :
| x | = | 1751712 413 |
Convert the result to decimal form :
| x | = | 4241.433414 |