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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 （28.51-20）/（30-28.51） = （a-1.05）/（0.8007-a） .
Question type: Equation
Solution:Original question:
| ( | 2851 100 | − | 20 | ) | ÷ | ( | 30 | − | 2851 100 | ) | = | ( | a | − | 21 20 | ) | ÷ | ( | 8007 10000 | − | a | ) |
| Multiply both sides of the equation by: | ( | 30 | − | 2851 100 | ) | , | ( | 8007 10000 | − | a | ) |
| ( | 2851 100 | − | 20 | ) | ( | 8007 10000 | − | a | ) | = | ( | a | − | 21 20 | ) | ( | 30 | − | 2851 100 | ) |
2851 100 | ( | 8007 10000 | − | a | ) | − | 20 | ( | 8007 10000 | − | a | ) | = | ( | a | − | 21 20 | ) | ( | 30 | − | 2851 100 | ) |
2851 100 | ( | 8007 10000 | − | a | ) | − | 20 | ( | 8007 10000 | − | a | ) | = | a | ( | 30 | − | 2851 100 | ) | − | 21 20 | ( | 30 | − | 2851 100 | ) |
2851 100 | × | 8007 10000 | − | 2851 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | ( | 30 | − | 2851 100 | ) | − | 21 20 | ( | 30 | − | 2851 100 | ) |
2851 100 | × | 8007 10000 | − | 2851 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | × | 30 | − | a | × | 2851 100 | − | 21 20 | ( | 30 | − | 2851 100 | ) |
22827957 1000000 | − | 2851 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | × | 30 | − | a | × | 2851 100 | − | 21 20 | ( | 30 | − | 2851 100 | ) |
22827957 1000000 | − | 2851 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | 149 100 | a | − | 21 20 | ( | 30 | − | 2851 100 | ) |
22827957 1000000 | − | 2851 100 | a | − | 20 | × | 8007 10000 | + | 20 | a | = | 149 100 | a | − | 21 20 | ( | 30 | − | 2851 100 | ) |
22827957 1000000 | − | 2851 100 | a | − | 20 | × | 8007 10000 | + | 20 | a | = | 149 100 | a | − | 21 20 | × | 30 | + | 21 20 | × | 2851 100 |
22827957 1000000 | − | 2851 100 | a | − | 8007 500 | + | 20 | a | = | 149 100 | a | − | 63 2 | + | 59871 2000 |
6813957 1000000 | − | 851 100 | a | = | 149 100 | a | − | 3129 2000 |
Transposition :
| - | 851 100 | a | − | 149 100 | a | = | - | 3129 2000 | − | 6813957 1000000 |
Combine the items on the left of the equation:
| - | 10 | a | = | - | 3129 2000 | − | 6813957 1000000 |
The solution of the equation:
a1≈0.800700 , keep 6 decimal places
a2≈0.837846 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》