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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 (t-3)^2+(4-4t/3)^2 = (5t/3-5)^2 .
Question type: Equation
Solution:
After the equation is converted into a general formula, it is converted into:
( 40000t + 28321 )( 250000t + 157037 )( 62500t + 34267 )( 1000000t + 388519 )( 1000000t + 188827 )( 1000000t + 48419 )( 1000000t - 90741 )( 250000t - 52639 )( 100000t - 33037 )( 1000000t - 410247 )=0
From
40000t + 28321 = 0
250000t + 157037 = 0
62500t + 34267 = 0
1000000t + 388519 = 0
1000000t + 188827 = 0
1000000t + 48419 = 0
1000000t - 90741 = 0
250000t - 52639 = 0
100000t - 33037 = 0
1000000t - 410247 = 0
it is concluded that:：
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 (t-3)^2+(4-4t/3)^2 = (5t/3-5)^2 .
Question type: Equation
Solution:
After the equation is converted into a general formula, it is converted into:
( 40000t + 28321 )( 250000t + 157037 )( 62500t + 34267 )( 1000000t + 388519 )( 1000000t + 188827 )( 1000000t + 48419 )( 1000000t - 90741 )( 250000t - 52639 )( 100000t - 33037 )( 1000000t - 410247 )=0
From
40000t + 28321 = 0
250000t + 157037 = 0
62500t + 34267 = 0
1000000t + 388519 = 0
1000000t + 188827 = 0
1000000t + 48419 = 0
1000000t - 90741 = 0
250000t - 52639 = 0
100000t - 33037 = 0
1000000t - 410247 = 0
it is concluded that:：
| t1= | - | 28321 40000 |
| t2= | - | 157037 250000 |
| t3= | - | 34267 62500 |
| t4= | - | 388519 1000000 |
| t5= | - | 188827 1000000 |
| t6= | - | 48419 1000000 |
| t7= | 90741 1000000 |
| t8= | 52639 250000 |
| t9= | 33037 100000 |
| t10= | 410247 1000000 |
There are 10 solution(s).
解程的详细方法请参阅：《方程的解法》