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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 101.3 = 0.1*3.287*(16.8967-3803.98/(t+273.15-41.68))+0.9*1.035*(16.2884-3816.44/(t+273.15-46.13)) .
Question type: Equation
Solution:Original question:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The solution of the equation:
t1≈-287.883909 , keep 6 decimal places
t2≈-230.245891 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 101.3 = 0.1*3.287*(16.8967-3803.98/(t+273.15-41.68))+0.9*1.035*(16.2884-3816.44/(t+273.15-46.13)) .
Question type: Equation
Solution:Original question:
1013 10 | = | 1 10 | × | 3287 1000 | ( | 168967 10000 | − | 190199 50 | ÷ | ( | t | + | 5463 20 | − | 1042 25 | ) | ) | + | 9 10 | × | 207 200 | ( | 40721 2500 | − | 95411 25 | ÷ | ( | t | + | 5463 20 | − | 4613 100 | ) | ) |
1013 10 | = | 1 10 | × | 3287 1000 | × | 168967 10000 | − | 1 10 | × | 3287 1000 | × | 190199 50 | ÷ | ( | t | + | 5463 20 | − | 1042 25 | ) | + | 9 10 | × | 207 200 | ( | 40721 2500 | − | 95411 25 | ÷ | ( | t | + | 5463 20 | − | 4613 100 | ) | ) |
1013 10 | = | 555394529 100000000 | − | 625184113 500000 | ÷ | ( | t | + | 5463 20 | − | 1042 25 | ) | + | 1863 2000 | ( | 40721 2500 | − | 95411 25 | ÷ | ( | t | + | 5463 20 | − | 4613 100 | ) | ) |
| Multiply both sides of the equation by: | ( | t | + | 5463 20 | − | 1042 25 | ) |
1013 10 | ( | t | + | 5463 20 | − | 1042 25 | ) | = | 555394529 100000000 | ( | t | + | 5463 20 | − | 1042 25 | ) | − | 625184113 500000 | + | 1863 2000 | ( | 40721 2500 | − | 95411 25 | ÷ | ( | t | + | 5463 20 | − | 4613 100 | ) | ) | ( | t | + | 5463 20 | − | 1042 25 | ) |
1013 10 | t | + | 1013 10 | × | 5463 20 | − | 1013 10 | × | 1042 25 | = | 555394529 100000000 | ( | t | + | 5463 20 | − | 1042 25 | ) | − | 625184113 500000 | + | 1863 2000 | ( | 40721 2500 | − | 95411 25 | ÷ | ( | t | + | 5463 20 | − | 4613 100 | ) | ) | ( | t | + | 5463 20 | − | 1042 25 | ) |
1013 10 | t | + | 1013 10 | × | 5463 20 | − | 1013 10 | × | 1042 25 | = | 555394529 100000000 | t | + | 555394529 100000000 | × | 5463 20 | − | 555394529 100000000 | × | 1042 25 | − | 625184113 500000 | + | 1863 2000 | ( | 40721 2500 | − | 95411 25 | ÷ | ( | t | + | 5463 20 | − | 4613 100 | ) | ) | ( | t | + | 5463 20 | − | 1042 25 | ) |
The solution of the equation:
t1≈-287.883909 , keep 6 decimal places
t2≈-230.245891 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》