If a - R - and -2 then the equaiton x 2- a - x -1-0 -A- Must have exactly two real rootsB- Can not have any real rootC- Must have either four real roots or no real rootsD- Must have either exactly two real roots or no real roots

The correct option is C Must have either four real roots or no real roots basic concept ...

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Standard XII

Mathematics

Proof of Intermediate Value Theorem

If a ∈ R - an...

Question

If a $ϵ$ R- and a $\neq$ - 2 then the equaiton $x^{2} + a | x | + 1 = 0 :$

Can not have any real root

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Must have exactly two real roots

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Must have either exactly two real roots or no real roots

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Must have either four real roots or no real roots

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Solution

The correct option is D
Must have either four real roots or no real roots

basic concept

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If a ϵ R- and a ≠ - 2 then the equaiton x2+a|x|+1=0:

The correct option is D Must have either four real roots or no real roots basic concept

If a $ϵ$ R- and a $\neq$ - 2 then the equaiton $x^{2} + a | x | + 1 = 0 :$

The correct option is D
Must have either four real roots or no real roots

basic concept