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If (p(\sqrt{5})=0) and (p(x)=x^2+ax-5), what is the value of (a)?
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Answer and explanation
Correct answer: (0)
Substitution gives (5+a\sqrt{5}-5=0), so (a\sqrt{5}=0) and (a=0). Simplify like terms first while substituting.
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Why is this the correct answer?
Substitution gives (5+a\sqrt{5}-5=0), so (a\sqrt{5}=0) and (a=0). Simplify like terms first while substituting.
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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