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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 (8224-x)×(1+5.6%) = x .
Question type: Equation
Solution:Original question:
| ( | 8224 | - | x | ) | ( | 1 | + | 28 500 | ) | = | x |
| Left side of the equation = | 8224 | ( | 1 | + | 28 500 | ) | - | x | ( | 1 | + | 28 500 | ) |
| = | 8224 | × | 1 | + | 8224 | × | 28 500 | - | x | ( | 1 | + | 28 500 | ) |
| = | 8224 | + | 57568 125 | - | x | ( | 1 | + | 28 500 | ) |
| = | 1085568 125 | - | x | ( | 1 | + | 28 500 | ) |
| = | 1085568 125 | - | x | × | 1 | - | x | × | 28 500 |
| = | 1085568 125 | - | 132 125 | x |
1085568 125 | - | 132 125 | x | = | x |
Transposition :
| - | 132 125 | x | - | x | = | - | 1085568 125 |
Combine the items on the left of the equation:
| - | 257 125 | x | = | - | 1085568 125 |
Multiply both sides of the equation by -1 :
257 125 | x | = | 1085568 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1085568 125 | ÷ | 257 125 |
| = | 1085568 125 | × | 125 257 |
| = | 1085568 | × | 1 257 |
Get the solution of the equation :
| x | = | 1085568 257 |
By reducing fraction, we can get:
| x | = | 4224 |