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If (p(x)=x^2-14x+45) and (q(x)=x^2-14x+43), which statement is correct?

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Answer and explanation

Correct answer: Zeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real

For (p(x)), (D=16) is a perfect square, and for (q(x)), (D=24) is positive but not a perfect square. Thus the first has rational and the second irrational real zeroes.

Related tags

Discriminant-ComparisonPyq-StyleReal-Zeroes

Frequently asked questions

What is the correct answer to this question?

Zeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real

Why is this the correct answer?

For (p(x)), (D=16) is a perfect square, and for (q(x)), (D=24) is positive but not a perfect square. Thus the first has rational and the second irrational real zeroes.

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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