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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 a+(a-100)*((205-1)*0.005) = 755.3 .
Question type: Equation
Solution:Original question:
| a | + | ( | a | − | 100 | ) | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) | = | 7553 10 |
| Left side of the equation = | a | + | a | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | ( | 205 | − | 1 | ) | × | 1 200 | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 205 | × | 1 200 | − | a | × | 1 | × | 1 200 | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 41 40 | − | a | × | 1 200 | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | 101 50 | a | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | 101 50 | a | − | 100 | ( | 205 | − | 1 | ) | × | 1 200 |
| = | 101 50 | a | − | 1 2 | ( | 205 | − | 1 | ) |
| = | 101 50 | a | − | 1 2 | × | 205 | + | 1 2 | × | 1 |
| = | 101 50 | a | − | 205 2 | + | 1 2 |
| = | 101 50 | a | − | 102 |
101 50 | a | − | 102 | = | 7553 10 |
Transposition :
101 50 | a | = | 7553 10 | + | 102 |
Combine the items on the right of the equation:
101 50 | a | = | 8573 10 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 8573 10 | ÷ | 101 50 |
| = | 8573 10 | × | 50 101 |
| = | 8573 | × | 5 101 |
We obtained :
| a | = | 42865 101 |
Convert the result to decimal form :
| a | = | 424.405941 |