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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 10.8% = (1/1+a)*12.3%+a/(1+a)*8% .
Question type: Equation
Solution:Original question:
54 500 | = | ( | 1 | ÷ | 1 | + | a | ) | × | 123 1000 | + | a | ÷ | ( | 1 | + | a | ) | × | 8 100 |
| Multiply both sides of the equation by: | ( | 1 | + | a | ) |
54 500 | ( | 1 | + | a | ) | = | ( | 1 | ÷ | 1 | + | a | ) | × | 123 1000 | ( | 1 | + | a | ) | + | a | × | 8 100 |
54 500 | × | 1 | + | 54 500 | a | = | ( | 1 | ÷ | 1 | + | a | ) | × | 123 1000 | ( | 1 | + | a | ) | + | a | × | 8 100 |
54 500 | × | 1 | + | 54 500 | a | = | 1 | ÷ | 1 | × | 123 1000 | ( | 1 | + | a | ) | + | a | × | 123 1000 | ( | 1 | + | a | ) | + | a | × | 8 100 |
27 250 | + | 54 500 | a | = | 123 1000 | ( | 1 | + | a | ) | + | a | × | 123 1000 | ( | 1 | + | a | ) | + | a | × | 8 100 |
27 250 | + | 54 500 | a | = | 123 1000 | × | 1 | + | 123 1000 | a | + | a | × | 123 1000 | ( | 1 | + | a | ) | + | 8 100 | a |
27 250 | + | 54 500 | a | = | 123 1000 | + | 123 1000 | a | + | a | × | 123 1000 | ( | 1 | + | a | ) | + | 8 100 | a |
27 250 | + | 54 500 | a | = | 123 1000 | + | 203 1000 | a | + | a | × | 123 1000 | ( | 1 | + | a | ) |
27 250 | + | 54 500 | a | = | 123 1000 | + | 203 1000 | a | + | a | × | 123 1000 | × | 1 | + | a | × | 123 1000 | a |
27 250 | + | 54 500 | a | = | 123 1000 | + | 203 1000 | a | + | a | × | 123 1000 | + | a | × | 123 1000 | a |
27 250 | + | 54 500 | a | = | 123 1000 | + | 163 500 | a | + | a | × | 123 1000 | a |
The solution of the equation:
a1≈-1.700649 , keep 6 decimal places
a2≈-0.071709 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》