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Class 10MathematicsQuadratic EquationsNature of RootsHardLevel 38
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If (2x^2-2(\mu+3)x+\mu^2+6\mu+5=0) has real and distinct roots, what is the condition on (\mu)?

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Answer and explanation

Correct answer: All real (\mu)

Here (D=4(\mu+3)^2-8(\mu^2+6\mu+5)=-4(\mu^2+6\mu+1)). It is not always positive, so all (\mu) is not correct.

Related tags

Quadratic EquationsParameter MuCritical Check

Frequently asked questions

What is the correct answer to this question?

All real (\mu)

Why is this the correct answer?

Here (D=4(\mu+3)^2-8(\mu^2+6\mu+5)=-4(\mu^2+6\mu+1)). It is not always positive, so all (\mu) is not correct.

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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