Question

if a+1/a = 11
find the value of a²+1/a²​

Answer 1

$a + \frac{1}{a} = 11 \\ (a + \frac{1}{a} {)}^{2} = (11) {}^{2} \\ {a}^{2} + \frac{1}{ {a}^{2} } + 2 = ( {11)}^{2} \\ {a}^{2} + \frac{1}{ {a}^{2} } = 121 - 2 \\ {a}^{2} + \frac{1}{ {a}^{2} } = 119$

Answer 2

Answer:

121-2=119

Step-by-step explanation:

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

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

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

(11)^2-2=a^2+1/a^2

121-2=a^2+1/a^2

119=a^2+1/a^2