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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 22.66 = X+X*1.5%+(X+X*1.5%)*9% .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
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 22.66 = X+X*1.5%+(X+X*1.5%)*9% .
Question type: Equation
Solution:Original question:
1133 50 | = | X | + | X | × | 3 200 | + | ( | X | + | X | × | 3 200 | ) | × | 9 100 |
| Right side of the equation = | 203 200 | X | + | ( | X | + | X | × | 3 200 | ) | × | 9 100 |
1133 50 | = | 203 200 | X | + | ( | X | + | X | × | 3 200 | ) | × | 9 100 |
| Right side of the equation = | 203 200 | X | + | X | × | 9 100 | + | X | × | 3 200 | × | 9 100 |
| = | 203 200 | X | + | X | × | 9 100 | + | X | × | 27 20000 |
| = | 22127 20000 | X |
1133 50 | = | 22127 20000 | X |
Transposition :
| - | 22127 20000 | X | = | - | 1133 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1133 50 | = | 22127 20000 | 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 :
22127 20000 | X | = | 1133 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1133 50 | ÷ | 22127 20000 |
| = | 1133 50 | × | 20000 22127 |
| = | 1133 | × | 400 22127 |
We obtained :
| X | = | 453200 22127 |
Convert the result to decimal form :
| X | = | 20.481764 |