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Class 10MathematicsQuadratic EquationsNature of RootsExpertLevel 38
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If (\alpha\neq-2) in ((\alpha+2)x^2-2\alpha x+(\alpha-1)=0), what is the condition on (\alpha) for real roots?

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Answer and explanation

Correct answer: (\alpha\leq2) and (\alpha\neq-2)

Here (D=4\alpha^2-4(\alpha+2)(\alpha-1)=8-4\alpha). For real roots (\alpha\leq2), and for a quadratic (\alpha\neq-2).

Related tags

Quadratic-EquationsParameter-InequalityReal-Roots

Frequently asked questions

What is the correct answer to this question?

(\alpha\leq2) and (\alpha\neq-2)

Why is this the correct answer?

Here (D=4\alpha^2-4(\alpha+2)(\alpha-1)=8-4\alpha). For real roots (\alpha\leq2), and for a quadratic (\alpha\neq-2).

Which subject and chapter does this question cover?

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

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