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For which (k) does (x^2+kx+9) have one zero three times the other and both positive?
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Answer and explanation
Correct answer: (-4\sqrt{3})
Let the zeroes be (t) and (3t), so (3t^2=9) gives (t=\sqrt{3}). The sum is (4\sqrt{3}), hence (k=-4\sqrt{3}).
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What is the correct answer to this question?
(-4\sqrt{3})
Why is this the correct answer?
Let the zeroes be (t) and (3t), so (3t^2=9) gives (t=\sqrt{3}). The sum is (4\sqrt{3}), hence (k=-4\sqrt{3}).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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