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

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

Complex Numbers and Quadratic Equations

Solution:

Note that $t^2 x^2+|x|+9 \geq 0+9>9 \forall x \in R$, Thus, $t^2 x^2+|x|+9=0$ does not have real roots.