a^2/4-33a/16=27/16

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Solution for a^2/4-33a/16=27/16 equation: 


a in (-oo:+oo)

(a^2)/4-((33*a)/16) = 27/16 // - 27/16

(a^2)/4-((33*a)/16)-(27/16) = 0

(a^2)/4+(-33/16)*a-27/16 = 0

1/4*a^2-33/16*a-27/16 = 0

DELTA = (-33/16)^2-(-27/16*1/4*4)

DELTA = 1521/256

DELTA > 0

a = ((1521/256)^(1/2)+33/16)/(1/4*2) or a = (33/16-(1521/256)^(1/2))/(1/4*2)

a = 9 or a = -3/4

a in { -3/4, 9 }

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