If (\alpha) and (\beta) are roots of (x^2+x-1=0), what is the value of (\alpha^2+\alpha\beta+\beta^2)?

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Answer and explanation

Correct answer: (2)

Here (\alpha+\beta=-1) and (\alpha\beta=-1). (\alpha^2+\alpha\beta+\beta^2=(\alpha+\beta)^2-\alpha\beta=1-(-1)=2).

What is the correct answer to this question?

(2)

Why is this the correct answer?

Here (\alpha+\beta=-1) and (\alpha\beta=-1). (\alpha^2+\alpha\beta+\beta^2=(\alpha+\beta)^2-\alpha\beta=1-(-1)=2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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