If (\alpha,\beta) are roots of (x^2-4x-21=0), what is (\alpha\beta+2\alpha+2\beta)?

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Answer and explanation

Correct answer: (-13)

Here (\alpha+\beta=4) and (\alpha\beta=-21). Thus (\alpha\beta+2\alpha+2\beta=-21+2(4)=-13).

What is the correct answer to this question?

(-13)

Why is this the correct answer?

Here (\alpha+\beta=4) and (\alpha\beta=-21). Thus (\alpha\beta+2\alpha+2\beta=-21+2(4)=-13).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.

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