If the discriminant of a quadratic equation is D = 49, what is the nature of its roots?
Answer and explanation
Correct answer: Two real, rational and distinct roots
The discriminant D = 49 is positive and a perfect square. Since D > 0, the roots are real and distinct; because D is a perfect square, the roots are rational. Therefore, option A is correct. The roots would be equal only when D = 0, so option B is incorrect. Exam tip: If D > 0 and is a perfect square, the roots are real, rational, and distinct.
Frequently asked questions
What is the correct answer to this question?
Two real, rational and distinct roots
Why is this the correct answer?
The discriminant D = 49 is positive and a perfect square. Since D > 0, the roots are real and distinct; because D is a perfect square, the roots are rational. Therefore, option A is correct. The roots would be equal only when D = 0, so option B is incorrect. Exam tip: If D > 0 and is a perfect square, the roots are real, rational, and distinct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.
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