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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If (\alpha) and (\beta) are roots of (x^2+2x-2=0), what is the value of (\alpha^2+\alpha\beta+\beta^2)?

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Answer and explanation

Correct answer: (6)

Here (\alpha+\beta=-2) and (\alpha\beta=-2). (\alpha^2+\alpha\beta+\beta^2=(\alpha+\beta)^2-\alpha\beta=6).

Related tags

RootsIdentityExpression

Frequently asked questions

What is the correct answer to this question?

(6)

Why is this the correct answer?

Here (\alpha+\beta=-2) and (\alpha\beta=-2). (\alpha^2+\alpha\beta+\beta^2=(\alpha+\beta)^2-\alpha\beta=6).

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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