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