State whether the following quadratic equations have two distinct real roots. Justify your answer.

x2 - 3x + 4 = 0


The equation x2 - 3x + 4 = 0 has no real roots.


D = b2 - 4ac


= (-3)2 - 4(1)(4)


= 9 – 16 < 0


Hence, the roots are imaginary.


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