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If (p(\sqrt{3})=0) and (p(x)=x^2+ax+3), what is the value of (a)?
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Answer and explanation
Correct answer: (-2\sqrt{3})
From (3+a\sqrt{3}+3=0), (a\sqrt{3}=-6), so (a=-2\sqrt{3}). After substituting an irrational value, separate like terms carefully.
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What is the correct answer to this question?
(-2\sqrt{3})
Why is this the correct answer?
From (3+a\sqrt{3}+3=0), (a\sqrt{3}=-6), so (a=-2\sqrt{3}). After substituting an irrational value, separate like terms carefully.
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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