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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 (1-t)(t+1/2019)-(1-t-1/2019)t = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
The solution of the equation:
t1≈-1045.364444 , keep 6 decimal places
t2≈-1039.613333 , keep 6 decimal places
t3≈-1039.613333 , keep 6 decimal places
t4≈-1030.267779 , keep 6 decimal places
t5≈-1030.267779 , keep 6 decimal places
t6≈1032.168437 , keep 6 decimal places
t7≈1032.168437 , keep 6 decimal places
t8≈1044.730864 , keep 6 decimal places
t9≈1044.730864 , keep 6 decimal places
t10≈1049.949465 , keep 6 decimal places
There are 10 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 (1-t)(t+1/2019)-(1-t-1/2019)t = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | t | ) | ( | t | + | 1 | ÷ | 2019 | ) | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t | = | 0 |
| Left side of the equation = | 1 | ( | t | + | 1 | ÷ | 2019 | ) | − | t | ( | t | + | 1 | ÷ | 2019 | ) | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t |
| = | 1 | t | + | 1 | × | 1 | ÷ | 2019 | − | t | ( | t | + | 1 | ÷ | 2019 | ) | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t |
| = | 1 | t | + | 1 2019 | − | t | ( | t | + | 1 | ÷ | 2019 | ) | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t |
| = | 1 | t | + | 1 2019 | − | t | t | − | t | × | 1 | ÷ | 2019 | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t |
| = | 1 | t | + | 1 2019 | − | t | t | − | t | × | 1 2019 | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t |
| = | 2018 2019 | t | + | 1 2019 | − | t | t | − | ( | 1 | − | t | − | 1 | ÷ | 2019 | ) | t |
| = | 2018 2019 | t | + | 1 2019 | − | t | t | − | 1 | t | + | t | t | + | 1 | ÷ | 2019 | × | t |
| = | 2018 2019 | t | + | 1 2019 | − | t | t | − | 1 | t | + | t | t | + | 1 2019 | t |
| = | - | 0 | t | + | 1 2019 | − | t | t | + | t | t |
| - | 0 | t | + | 1 2019 | − | t | t | + | t | t | = | 0 |
The solution of the equation:
t1≈-1045.364444 , keep 6 decimal places
t2≈-1039.613333 , keep 6 decimal places
t3≈-1039.613333 , keep 6 decimal places
t4≈-1030.267779 , keep 6 decimal places
t5≈-1030.267779 , keep 6 decimal places
t6≈1032.168437 , keep 6 decimal places
t7≈1032.168437 , keep 6 decimal places
t8≈1044.730864 , keep 6 decimal places
t9≈1044.730864 , keep 6 decimal places
t10≈1049.949465 , keep 6 decimal places
There are 10 solution(s).
解程的详细方法请参阅：《方程的解法》