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a in (-oo:+oo)
(a^2)/4-((15*a)/16)-(1/4) = 0
(a^2)/4+(-15/16)*a-1/4 = 0
1/4*a^2-15/16*a-1/4 = 0
DELTA = (-15/16)^2-(-1/4*1/4*4)
DELTA = 289/256
DELTA > 0
a = ((289/256)^(1/2)+15/16)/(1/4*2) or a = (15/16-(289/256)^(1/2))/(1/4*2)
a = 4 or a = -1/4
a in { -1/4, 4 }
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