Question

(a) If a -1/a =4, find the value of a² + 1/a² plz give me answer
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Answer 1

Answer:

${a}^{2} + \frac{1}{ {a}^{2} } = 18$

Step-by-step explanation:

$a - \frac{1}{a} = 4 \\ squaring \: on \: both \: the \: sides \\ {(a - \frac{1}{a} )}^{2} = {(4)}^{2} \\ {a}^{2} - 2 + \frac{1}{ {a}^{2} } = 16 \\ {a}^{2} + \frac{1}{ {a}^{2} } = 16 + 2 \\ {a}^{2} + \frac{1}{ {a}^{2} } = 18$

Answer 2

Step-by-step explanation:

Given:-

a-1/a=4

On square both sides.

We get:-

(a-1/a)²=16

a²+1/a²-2=16

a²-1/a²=16+2

a²+1/a²=18 Ans.