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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 a^10-10a^8+35a^6-50a^4+25a^2 = 1 .
Question type: Equation
Solution:
After the equation is converted into a general formula, there is a common factor:
( a + 1 )( a - 1 )
From
a + 1 = 0
a - 1 = 0
it is concluded that:：
| a1=-1 |
| a2=1 |
Solutions that cannot be obtained by factorization:
a3≈-1.956295 , keep 6 decimal places
a4≈-1.827091 , keep 6 decimal places
a5≈-1.338261 , keep 6 decimal places
a6≈-0.209057 , keep 6 decimal places
a7≈0.209057 , keep 6 decimal places
a8≈1.338261 , keep 6 decimal places
a9≈1.827091 , keep 6 decimal places
a10≈1.956295 , keep 6 decimal places
There are 10 solution(s).
解程的详细方法请参阅：《方程的解法》