Question

If :a+1/a=3
find: a²+1/a²​

Answer 1

Answer:

a + 1/a=3

or, (a)²+(1/a)²=(3)²

or, (a+1/a)²= 9-(2×a×1/a)

or, (a+1/a)²= 7

or, a²+1/a²= 7

Answer 2

Answer:

$a + \frac{1}{a} = 3 \\ {(a + \frac{1}{a} )}^{2} = (3)^{2} \\ {a}^{2} + \frac{1}{a} ^{2} + 2 = 9 \\ a ^{2} + \frac{1}{a} ^{2} = 9 - 2 \\ a ^{2} + \frac{1}{a} ^{2} = 7$

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