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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
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[ 1/1 Equation]
Work: Find the solution of equation 433+(433-100)*((a-1)*0.005) = 756.01 .
Question type: Equation
Solution:Original question:
| 433 | + | ( | 433 | − | 100 | ) | ( | ( | a | − | 1 | ) | × | 1 200 | ) | = | 75601 100 |
| Left side of the equation = | 433 | + | 433 | ( | ( | a | − | 1 | ) | × | 1 200 | ) | − | 100 | ( | ( | a | − | 1 | ) | × | 1 200 | ) |
| = | 433 | + | 433 | ( | a | − | 1 | ) | × | 1 200 | − | 100 | ( | ( | a | − | 1 | ) | × | 1 200 | ) |
| = | 433 | + | 433 200 | ( | a | − | 1 | ) | − | 100 | ( | ( | a | − | 1 | ) | × | 1 200 | ) |
| = | 433 | + | 433 200 | a | − | 433 200 | × | 1 | − | 100 | ( | ( | a | − | 1 | ) | × | 1 200 | ) |
| = | 433 | + | 433 200 | a | − | 433 200 | − | 100 | ( | ( | a | − | 1 | ) | × | 1 200 | ) |
| = | 86167 200 | + | 433 200 | a | − | 100 | ( | ( | a | − | 1 | ) | × | 1 200 | ) |
| = | 86167 200 | + | 433 200 | a | − | 100 | ( | a | − | 1 | ) | × | 1 200 |
| = | 86167 200 | + | 433 200 | a | − | 1 2 | ( | a | − | 1 | ) |
| = | 86167 200 | + | 433 200 | a | − | 1 2 | a | + | 1 2 | × | 1 |
| = | 86167 200 | + | 433 200 | a | − | 1 2 | a | + | 1 2 |
| = | 86267 200 | + | 333 200 | a |
86267 200 | + | 333 200 | a | = | 75601 100 |
Transposition :
333 200 | a | = | 75601 100 | − | 86267 200 |
Combine the items on the right of the equation:
333 200 | a | = | 12987 40 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 12987 40 | ÷ | 333 200 |
| = | 12987 40 | × | 200 333 |
| = | 39 | × | 5 |
We obtained :
| a | = | 195 |