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If one zero of (p(x)=x^2-2kx+5) is (\sqrt{5}), what will be the other zero and (k)?
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Answer and explanation
Correct answer: Other (\sqrt{5}), (k=\sqrt{5})
The product is (5), so the other zero is (\frac{5}{\sqrt{5}}=\sqrt{5}). The sum is (2\sqrt{5}=2k), hence (k=\sqrt{5}).
Frequently asked questions
What is the correct answer to this question?
Other (\sqrt{5}), (k=\sqrt{5})
Why is this the correct answer?
The product is (5), so the other zero is (\frac{5}{\sqrt{5}}=\sqrt{5}). The sum is (2\sqrt{5}=2k), hence (k=\sqrt{5}).
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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