Question

(a²+1/a²=14 find the value of (a-1/a)​

Answer 1

Answer:

$valu \: of \: (a - \frac{1}{a} ) = 2 \sqrt{3}$

Step-by-step explanation:

formula of (a)^2-(1/a)^2=(a+1/a)^2-2a×1/a

=(a-1/a)^2+2a×1/a

Given,

(a)^2+(1/a)^2 =14

1/a)^2+2a×1/a =14

(a-1/a)^2 +2 =14

(a-1/a)^2 =14-2

a-1/a =√12

a-1/a =2√3

hence, the ans is 2√3.....

hope it helps you..

Answer 2

${a}^{2} + \frac{1}{ {a}^{2} } = 14 \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2 = 12 \\ ( {a - \frac{1}{a} })^{2} = 12 \\ a - \frac{1}{a} = 2 \sqrt{3}$