Decide whether the statement is true or false. If it is false, tell why. -If k is a positive integer, then x² = k will have one rational and one irrational solution. A) False; there will be either two rational solutions or two irrational solutions. B) False; there will always be two rational solutions. C) True

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Quizplus · Accepted Answer

The statement is false because for a quadratic equation (which the given expression implies), the nature of the roots (solutions) depends on the discriminant. If the discriminant is positive, there are two real solutions, which can be either both rational or both irrational. They cannot be one rational and one irrational.

Decide Whether the Statement Is True or False