Product of real roots of the equation t2 x2+|x|+9=0 . t ∈ R is always

Question

Product of real roots of the equation t2 x2+|x|+9=0 . t ∈ R is always (A) positive (B) negative (C) zero (D) does not exist

Tardigrade Admin · Accepted Answer

Note that t2 x2+|x|+9 ≥ 0+9>9 ∀ x ∈ R, Thus, t2 x2+|x|+9=0 does not have real roots.

Q. Product of real roots of the equation $t^{2} x^{2} + ∣ x ∣ + 9 = 0. t \in R$ is always