If x=3-2√2 ,then find the value of x^2+1/x^2.
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given x=3-2√2
from the above, 1/x = 1/(3-2√2) = 3+2√2
solving (x+1/x)^2=(3-2√2+3+2√2)^2
x^2 + 1/x^2 +2 = 36
hence x^2 + 1/x^2 = 34
hope its useful.
from the above, 1/x = 1/(3-2√2) = 3+2√2
solving (x+1/x)^2=(3-2√2+3+2√2)^2
x^2 + 1/x^2 +2 = 36
hence x^2 + 1/x^2 = 34
hope its useful.
indusinghkancha:
Can you please explain 2nd step
multiply with 3+2√2 on both the sides gives you the value
(3+2√2)/[(3+2√2)(3-2√2)]
(3+2√2)/[3^2-(2√2)^2]
(3+2√2)/(9-8) = 3+2√2
Thanks a lot
welcome
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