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Number of roots (part - 3)

Algebra Level 4

If \(a\) is a constant, then the equation \( x^2 + a|x| + 1 = 0\) has four distinct roots when \(\text{__________} \).

\[a \geq 0\] \[a < -2\] \[\phi\] None of these \[ -2 < a < 0\] \[a = -2\]

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by Akhil Bansal

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