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Kindly help me solving it i tried my best but I couldn't
Solving equation (x-1/x)^2-6 (x+1/x)+12=0 we get roots as?
I tried to simplify it and it reduced to
x^4-6x^3+14x^2-6x+1=0
But i can't go further
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It is elementary . . .
0. = 0. (1)
1. = + = + -4 = - 4.
2. Therefore, you can write the original equation in an equivalent form
= 0, or, which is the same
= 0. (2)
3. Next, introduce new variable y = . Then the equation (2) takes the form
= 0,
and you can solve it by factoring
((y-4)*(y-2) = 0.
The roots are y=4 and y=2.
4. As the last, final step, you should solve these two separate equations
= 6,
and
= 2.
I believe you can complete the assignment from this point on your own.