if x=3+2√2 so find x^2 - 1/x^2
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so answer =34
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Answer:
x^2-1/x^2=24√2
Step-by-step explanation:
if,x=3+2√2
1/x=1/3+2√2
=1(3-2√2)/(3+2√2)(3-2√2)
=3-2√2/(3)^2-(2√2)^2=(3-2√2)/9-8
=3-2√2/1=3-2√2
x+1/x=3+2√2+3-2√2=6
x-1/x=3+2√2-3+2√2=4√2
x^2-1/x^2=(x+1/x)(x-1/x)
=6×4√2
=24√2
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