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Which polynomial has a rational sum of zeroes but both zeroes are irrational?

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Answer and explanation

Correct answer: (x^2-4x+1)

In (x^2-4x+1), the sum is (4) and (D=16-4=12), so the zeroes are irrational. A rational sum does not mean rational zeroes.

Related tags

Rational-SumIrrational-ZeroesConcept

Frequently asked questions

What is the correct answer to this question?

(x^2-4x+1)

Why is this the correct answer?

In (x^2-4x+1), the sum is (4) and (D=16-4=12), so the zeroes are irrational. A rational sum does not mean rational 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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