if x-1/x=root6 then x^2+1/x^2=
please answer
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8
Answer:
8
Step-by-step explanation:
given:
x-1/x =√6
find : x^2 + (1/x)^2
solution:
(x - 1/x)^2 = (√6)^2
by using the identity (a - b)^2= a^2 - 2ab + b^2
(x)^2 - 2(x)(1/x) +( 1/x)^2 = 6
x^2 + (1/x)^2 - 2 = 6
therefore , x^2+ (1/x)^2 = 6 + 2 = 8
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