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If (p(x)=x^2-14x+45) and (q(x)=x^2-14x+40), 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=196-180=16), while for (q(x)), (D=196-160=36), so both are rational. Therefore the listed intended contrast is not valid.

Related tags

Discriminant-ComparisonError-AwarenessZeroes

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=196-180=16), while for (q(x)), (D=196-160=36), so both are rational. Therefore the listed intended contrast is not valid.

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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