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Under which condition will the zeroes of (x^2+bx+c) be real but not rational?
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Answer and explanation
Correct answer: (b^2-4c) is positive and not a perfect square
For real zeroes, the discriminant must be positive, and for irrational zeroes it must not be a perfect square. This is the key check for quadratics with rational coefficients.
Frequently asked questions
What is the correct answer to this question?
(b^2-4c) is positive and not a perfect square
Why is this the correct answer?
For real zeroes, the discriminant must be positive, and for irrational zeroes it must not be a perfect square. This is the key check for quadratics with rational coefficients.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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