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Class 10MathematicsPolynomialsPolynomials in one variableExpertLevel 48
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If (\alpha,\beta) are zeroes of (x^2-9x+20), what is the value of ((\alpha+2)(\beta+2))?

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Answer and explanation

Correct answer: (42)

(\alpha+\beta=9) and (\alpha\beta=20). ((\alpha+2)(\beta+2)=\alpha\beta+2(\alpha+\beta)+4=20+18+4=42).

Related tags

ZeroesAlgebraic-ExpressionQuadratic

Frequently asked questions

What is the correct answer to this question?

(42)

Why is this the correct answer?

(\alpha+\beta=9) and (\alpha\beta=20). ((\alpha+2)(\beta+2)=\alpha\beta+2(\alpha+\beta)+4=20+18+4=42).

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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