Question

if a+1/a=​ \sqrt{2} show that a²+1/a²=0

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Answer 1

Answer:

a+1/a= √2

show that a²+1/a²=0

Answer 2

Step-by-step explanation:

$given \: a + \frac{1}{a} = \sqrt{2} \\ squaring \: both \: sides \: we \: get \: {a}^{2} + \frac{1}{ {a}^{2} } + 2 = 2 \\ this \: gives \: {a}^{2} + \frac{1}{ {a}^{2} } = 0 \\ hence \: proved$