Question

If a +1/a = 11, find the value of a² + 1/a² solve plz​

Answer 1

Answer:

119

Step-by-step explanation:

$a+ 1/a = 11\\\\(a + 1/a)^2 = 11^2\\ \\a^2 + 2(a)(1/a) + (1/a)^2 = 121 [[(x + y)^2 = x^2 +2xy + y^2]] \\a^2 + 1/a^2 + 2 = 121\\a^2 + 1/a^2 = 121 - 2\\a^2 + 1/a^2 = 119$