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Liquids in Liquids

The roots of ...

Question

The roots of the equation $2 x^{2} + 4 x + 5$ = 0 are :

Not Real

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Real and Equal

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Real and unequal

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None of the above

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Solution

The correct option is A Not Real
$D = b^{2} - 4 a c = 4^{2} - 4 (2) (5) = - 24$

D<0
$\Rightarrow$ Roots are imagionary or not real.

So, option a is correct.

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