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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 （24/5-t)*（24/5-t）-t*t/4 = (96/85-4/5t*t)(96/85-4/5t*t) .
Question type: Equation
Solution:Original question:
| ( | 24 | ÷ | 5 | − | t | ) | ( | 24 | ÷ | 5 | − | t | ) | − | t | t | ÷ | 4 | = | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) |
| Left side of the equation = | 24 | ÷ | 5 | × | ( | 24 | ÷ | 5 | − | t | ) | − | t | ( | 24 | ÷ | 5 | − | t | ) | − | t | t | × | 1 4 |
| = | 24 5 | ( | 24 | ÷ | 5 | − | t | ) | − | t | ( | 24 | ÷ | 5 | − | t | ) | − | t | t | × | 1 4 |
| = | 24 5 | × | 24 | ÷ | 5 | − | 24 5 | t | − | t | ( | 24 | ÷ | 5 | − | t | ) | − | t | t | × | 1 4 |
| = | 576 25 | − | 24 5 | t | − | t | ( | 24 | ÷ | 5 | − | t | ) | − | t | t | × | 1 4 |
| = | 576 25 | − | 24 5 | t | − | t | × | 24 | ÷ | 5 | + | t | t | − | t | t | × | 1 4 |
| = | 576 25 | − | 24 5 | t | − | t | × | 24 5 | + | t | t | − | t | t | × | 1 4 |
| = | 576 25 | − | 48 5 | t | + | t | t | − | t | t | × | 1 4 |
576 25 | − | 48 5 | t | + | t | t | − | t | t | × | 1 4 | = | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) |
| Right side of the equation = | 96 | ÷ | 85 | × | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) | − | 4 | ÷ | 5 | × | t | t | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) |
| = | 96 85 | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) | − | 4 5 | t | t | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) |
| = | 96 85 | × | 96 | ÷ | 85 | − | 96 85 | × | 4 | ÷ | 5 | × | t | t | − | 4 5 | t | t | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) |
| = | 9216 7225 | − | 384 425 | t | t | − | 4 5 | t | t | ( | 96 | ÷ | 85 | − | 4 | ÷ | 5 | × | t | t | ) |
| = | 9216 7225 | − | 384 425 | t | t | − | 4 5 | t | t | × | 96 | ÷ | 85 | + | 4 5 | t | t |
| = | 9216 7225 | − | 384 425 | t | t | − | 384 425 | t | t | + | 16 25 | t | t | t | t |
576 25 | − | 48 5 | t | + | t | t | − | t | t | × | 1 4 | = | 9216 7225 | − | 384 425 | t | t | − | 384 425 | t | t | + | 16 25 | t | t | t | t |
The solution of the equation:
t1≈-3.378532 , keep 6 decimal places
t2≈2.119011 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》