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If (p(x)=x^2-11x+24) and (q(x)=x^2-11x+23), which statement is correct?

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Answer and explanation

Correct answer: (p(x)) has rational zeroes and (q(x)) has irrational real zeroes

For (p(x)), (D=121-96=25), a perfect square. For (q(x)), (D=121-92=29), positive and not a perfect square.

Related tags

ComparisonDiscriminantReal-Irrational

Frequently asked questions

What is the correct answer to this question?

(p(x)) has rational zeroes and (q(x)) has irrational real zeroes

Why is this the correct answer?

For (p(x)), (D=121-96=25), a perfect square. For (q(x)), (D=121-92=29), positive and not a perfect square.

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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