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If (\alpha) and (\beta) are zeroes of a quadratic polynomial where (\alpha+\beta=8) and (\alpha\beta=11), which are the possible zeroes?
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Answer and explanation
Correct answer: (4+\sqrt{5}) and (4-\sqrt{5})
The sum of (4+\sqrt{5}) and (4-\sqrt{5}) is (8), and the product is (16-5=11). In exams check the sum and product of options.
Frequently asked questions
What is the correct answer to this question?
(4+\sqrt{5}) and (4-\sqrt{5})
Why is this the correct answer?
The sum of (4+\sqrt{5}) and (4-\sqrt{5}) is (8), and the product is (16-5=11). In exams check the sum and product of options.
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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