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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 [(9+4a)/5]^2+[(12-3a)/5]^2 = a^2+9 .
Question type: Equation
Solution:
After the equation is converted into a general formula, it is converted into:
( 250000a + 122091 )( 31250a + 14013 )( 500000a + 131169 )( 450a + 67 )( 450a + 67 )( 1000000a - 90741 )( 1000000a - 90741 )( 500000a - 125247 )( 1000000a - 410247 )=0
From
250000a + 122091 = 0
31250a + 14013 = 0
500000a + 131169 = 0
450a + 67 = 0
450a + 67 = 0
1000000a - 90741 = 0
1000000a - 90741 = 0
500000a - 125247 = 0
1000000a - 410247 = 0
it is concluded that:：
There are 9 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 [(9+4a)/5]^2+[(12-3a)/5]^2 = a^2+9 .
Question type: Equation
Solution:
After the equation is converted into a general formula, it is converted into:
( 250000a + 122091 )( 31250a + 14013 )( 500000a + 131169 )( 450a + 67 )( 450a + 67 )( 1000000a - 90741 )( 1000000a - 90741 )( 500000a - 125247 )( 1000000a - 410247 )=0
From
250000a + 122091 = 0
31250a + 14013 = 0
500000a + 131169 = 0
450a + 67 = 0
450a + 67 = 0
1000000a - 90741 = 0
1000000a - 90741 = 0
500000a - 125247 = 0
1000000a - 410247 = 0
it is concluded that:：
| a1= | - | 122091 250000 |
| a2= | - | 14013 31250 |
| a3= | - | 131169 500000 |
| a4= | - | 67 450 |
| a5= | - | 67 450 |
| a6= | 90741 1000000 |
| a7= | 90741 1000000 |
| a8= | 125247 500000 |
| a9= | 410247 1000000 |
There are 9 solution(s).
解程的详细方法请参阅：《方程的解法》