Question

If a-1/a=2, then a²+1/a² will be equal to​

Answer 1

Answer:

a-1/a = 2

squaring both sides,

a2 + 1/a2 - 2xax1/a = 2x2

a2+ 1/a2 - 2 = 4

a2+1/a2 = 4+2

a2+ 1/a2= 6

hence ans

Answer 2

Answer:

a² + (1/a²) = 6

Step-by-step explanation:

We know that,

a - (1/a) = 2

also,

(x - y)² = x² - 2xy + y²

Thus,

Squaring both sides we get,

(a - (1/a))² = 2²

(We are squaring because we must find a² + (1/a²), so it is necessary to see if it would give us the required result.)

Using the above identity

a² - (2 × a × (1/a)) + (1/a)² = 4

a² - 2 + (1/a²) = 4

a² + (1/a²) = 4 + 2

∴ a² + (1/a²) = 6

Hope it helped and believing you understood it........All the best