Product of real roots of the equation {t^2}{x | vedclass

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Question

(C) Given the equation: ${t^2}{x^2} + |x| + 9 = 0$.For any real number $t$,the term ${t^2}{x^2} \ge 0$ and $|x| \ge 0$.Therefore,the expression ${t^2}

Vedclass · Accepted Answer

Does not exist

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(C) Given the equation: ${t^2}{x^2} + |x| + 9 = 0$.For any real number $t$,the term ${t^2}{x^2} \ge 0$ and $|x| \ge 0$.Therefore,the expression ${t^2}{x^2} + |x| + 9$ must be at least $9$ for any real value of $x$.Since ${t^2}{x^2} + |x| + 9 \ge 9$,the expression can never equal $0$.Thus,the equation has no real roots.Consequently,the product of real roots does not exist.

Product of real roots of the equation ${t^2}{x^2} + |x| + 9 = 0$.

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