Statement: If the discriminant \(D<0\), the equation has two real and distinct roots. What type of statement is this?

Correct answer: False

For a quadratic equation, the discriminant is \(D=b^2-4ac\). When \(D<0\), the equation has no real roots, so the statement claiming two real and distinct roots is false. Two real and distinct roots occur when \(D>0\), while \(D=0\) gives equal real roots. Exam tip: Always check the three cases \(D>0\), \(D=0\), and \(D<0\) to determine the nature of the roots.