If A = x ∈ R x 2 + 5 x + 6 = 0 then n A =

Question

If A = x ∈ R x 2 + 5 x + 6 = 0 then n A =, 0, 4, 1, 2

MARKS App · Accepted Answer

We have, A = x ∈ R x 2 + 5 x + 6 = 0 Now, x 2 + 5 x + 6 = 0 … i ⇒ x 2 + 3 x + 2 x + 6 = 0 ⇒ x x + 3 + 2 x + 3 = 0 ⇒ x + 2 x + 3 = 0 ⇒ x = - 2 x = - 3 ⇒ x ≠ 2 o r x ≠ 3 Here, no value of x satisfy the Eq. (i). ∴ n A = 0

Search any question & find its solution

Looking for more such questions to practice?