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 [(81644.43+a+10000)-45000]*0.1-2520 = 1088.89+a .
Question type: Equation
Solution:Original question:
| ( | ( | 8164443 100 | + | a | + | 10000 | ) | − | 45000 | ) | × | 1 10 | − | 2520 | = | 108889 100 | + | a |
| Left side of the equation = | ( | 8164443 100 | + | a | + | 10000 | ) | × | 1 10 | − | 45000 | × | 1 10 | − | 2520 |
| = | ( | 8164443 100 | + | a | + | 10000 | ) | × | 1 10 | − | 4500 | − | 2520 |
| = | ( | 8164443 100 | + | a | + | 10000 | ) | × | 1 10 | − | 7020 |
| = | 8164443 100 | × | 1 10 | + | a | × | 1 10 | + | 10000 | × | 1 10 | − | 7020 |
| = | 8164443 1000 | + | a | × | 1 10 | + | 1000 | − | 7020 |
| = | 2144443 1000 | + | 1 10 | a |
2144443 1000 | + | 1 10 | a | = | 108889 100 | + | a |
Transposition :
1 10 | a | − | a | = | 108889 100 | − | 2144443 1000 |
Combine the items on the left of the equation:
| - | 9 10 | a | = | 108889 100 | − | 2144443 1000 |
Combine the items on the right of the equation:
| - | 9 10 | a | = | - | 1055553 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1055553 1000 | = | 9 10 | a |
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 :
9 10 | a | = | 1055553 1000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 1055553 1000 | ÷ | 9 10 |
| = | 1055553 1000 | × | 10 9 |
| = | 351851 100 | × | 1 3 |
We obtained :
| a | = | 351851 300 |
Convert the result to decimal form :
| a | = | 1172.836667 |