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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/1.11*0.11+(700-a)/1.1*0.1 = 666706.85 .
Question type: Equation
Solution:Original question:
| a | ÷ | 111 100 | × | 11 100 | + | ( | 700 | − | a | ) | ÷ | 11 10 | × | 1 10 | = | 13334137 20 |
| Left side of the equation = | a | × | 11 111 | + | ( | 700 | − | a | ) | × | 1 11 |
11 111 | a | + | ( | 700 | − | a | ) | × | 1 11 | = | 13334137 20 |
| Left side of the equation = | 11 111 | a | + | 700 | × | 1 11 | − | a | × | 1 11 |
| = | 11 111 | a | + | 700 11 | − | a | × | 1 11 |
| = | 10 1221 | a | + | 700 11 |
10 1221 | a | + | 700 11 | = | 13334137 20 |
Transposition :
10 1221 | a | = | 13334137 20 | − | 700 11 |
Combine the items on the right of the equation:
10 1221 | a | = | 146661507 220 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 146661507 220 | ÷ | 10 1221 |
| = | 146661507 220 | × | 1221 10 |
| = | 146661507 20 | × | 111 10 |
We obtained :
| a | = | 16279427277 200 |