x = 3-2 root 2 '
find x^2 - 1/x^2
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Given x = 3 + 2√2
⇒ x2 = 17 + 12√2
⇒ 1/x2 = 1/(17 + 12√2)
On rationalizing the denominator we get
1/x2 = (17 – 12√2)
∴ (x2 +1/x2) =(17 + 12√2) + (17 – 12√2)
= 34
⇒ x2 = 17 + 12√2
⇒ 1/x2 = 1/(17 + 12√2)
On rationalizing the denominator we get
1/x2 = (17 – 12√2)
∴ (x2 +1/x2) =(17 + 12√2) + (17 – 12√2)
= 34
sameeksha294:
x = 3-2root2 not 3+2root 2
The answer is +-2.
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