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 [(49917.8+a+843+8000)-35000-5901]*3% = 445.79+a .
Question type: Equation
Solution:Original question:
| ( | ( | 249589 5 | + | a | + | 843 | + | 8000 | ) | − | 35000 | − | 5901 | ) | × | 3 100 | = | 44579 100 | + | a |
| Left side of the equation = | ( | 249589 5 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 35000 | × | 3 100 | − | 5901 | × | 3 100 |
| = | ( | 249589 5 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 1050 | − | 17703 100 |
| = | ( | 249589 5 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 122703 100 |
| = | 249589 5 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 122703 100 |
| = | 748767 500 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 122703 100 |
| = | 267897 500 | + | 3 100 | a |
267897 500 | + | 3 100 | a | = | 44579 100 | + | a |
Transposition :
3 100 | a | − | a | = | 44579 100 | − | 267897 500 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 44579 100 | − | 267897 500 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 22501 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
22501 250 | = | 97 100 | 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 :
97 100 | a | = | 22501 250 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 22501 250 | ÷ | 97 100 |
| = | 22501 250 | × | 100 97 |
| = | 22501 5 | × | 2 97 |
We obtained :
| a | = | 45002 485 |
Convert the result to decimal form :
| a | = | 92.787629 |