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-100-(x-100)*0.13*(1+0.12)-(x-100)*0.05-(x-100)*0.0005-x*0.0003-0.1*x = 0 .
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 :
Transposition :
Combine the items on the right of the equation:
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-100-(x-100)*0.13*(1+0.12)-(x-100)*0.05-(x-100)*0.0005-x*0.0003-0.1*x = 0 .
Question type: Equation
Solution:Original question:
| x | − | 100 | − | ( | x | − | 100 | ) | × | 13 100 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 | − | x | × | 3 10000 | − | 1 10 | = | 0 |
| Left side of the equation = | 8997 10000 | x | − | 100 | − | ( | x | − | 100 | ) | × | 13 100 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
8997 10000 | x | − | 100 | − | ( | x | − | 100 | ) | × | 13 100 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 | = | 0 |
| Left side of the equation = | 8997 10000 | x | − | 100 | − | x | × | 13 100 | ( | 1 | + | 3 25 | ) | + | 100 | × | 13 100 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) |
| = | 8997 10000 | x | − | 100 | − | x | × | 13 100 | ( | 1 | + | 3 25 | ) | + | 13 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 8997 10000 | x | − | 100 | − | x | × | 13 100 | × | 1 | − | x | × | 13 100 | × | 3 25 | + | 13 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) |
| = | 8997 10000 | x | − | 100 | − | x | × | 13 100 | − | x | × | 39 2500 | + | 13 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) |
| = | 7541 10000 | x | − | 100 | + | 13 | ( | 1 | + | 3 25 | ) | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7541 10000 | x | − | 100 | + | 13 | × | 1 | + | 13 | × | 3 25 | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7541 10000 | x | − | 100 | + | 13 | + | 39 25 | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7541 10000 | x | − | 2136 25 | − | ( | x | − | 100 | ) | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7541 10000 | x | − | 2136 25 | − | x | × | 1 20 | + | 100 | × | 1 20 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7541 10000 | x | − | 2136 25 | − | x | × | 1 20 | + | 5 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7041 10000 | x | − | 2011 25 | − | ( | x | − | 100 | ) | × | 1 2000 |
| = | 7041 10000 | x | − | 2011 25 | − | x | × | 1 2000 | + | 100 | × | 1 2000 |
| = | 7041 10000 | x | − | 2011 25 | − | x | × | 1 2000 | + | 1 20 |
| = | 1759 2500 | x | − | 8039 100 |
1759 2500 | x | − | 8039 100 | = | 0 |
Transposition :
1759 2500 | x | = | 0 | + | 8039 100 |
Combine the items on the right of the equation:
1759 2500 | x | = | 8039 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8039 100 | ÷ | 1759 2500 |
| = | 8039 100 | × | 2500 1759 |
| = | 8039 | × | 25 1759 |
We obtained :
| x | = | 200975 1759 |
Convert the result to decimal form :
| x | = | 114.255259 |