Question

If a minus 1/a = 10 then find the value of a+ 1/a and a square minus 1/a square find

Answer 1

Step-by-step explanation:

a - 1/a = 10

(a + 1/a)^2 = (a - 1/a)^2 + 4×a×1/a = 10^2 + 4×1 = 100 + 4 = 104

=> a + 1/a = √104 = 2√26

a^2 -(1/a)^2 = (a - 1/a)(a + 1/a) = 10×2√26 = 20√26