What are the nature of quadratic equation $x^{2} + 3 x + 4 = 0$ ?

Real and Distinct

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Not Real

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Real and Equal

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None of these

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Solution

The correct option is D Not Real
Using D $= (3)^{2} - (4) (1) (4)$
D $= 9 - 16$
D $= - 7$
D $< 0$
So the given quadratic equation have imaginary roots.

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