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Exercise 1.1 · Q8

Q.State whether the following sentence is a statement. Justify your answer. In case it is a statement, state its truth value: A quadratic equation cannot have more than two roots.

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"A quadratic equation cannot have more than two roots" is a declarative mathematical claim, hence a statement.

By the Fundamental Theorem of Algebra, a polynomial equation of degree nn has at most nn roots. A quadratic equation has degree 2 …

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