The discriminant, ( first positive 4 in the constant, then negative 4 as you did not specify this )
b2 - 4ac
------------
(- 7)2 - 4(3)(4)
49 - 48
= 1
============a positive number means two real roots ( - 4 now )
( - 7)2 - 4(3)(- 4)
49 + 48
= 97
============still positive and two real roots
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If you mean: 4x squared+7x+4 then the discriminant is -15
zero
72-4*3*4 = 1
The discriminant is -7
It is: 16-20 = -4 which means that the given quadratic expression has no real roots.