a^2/4-7a/16=15/16

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Solution for a^2/4-7a/16=15/16 equation: 


a in (-oo:+oo)

(a^2)/4-((7*a)/16) = 15/16 // - 15/16

(a^2)/4-((7*a)/16)-(15/16) = 0

(a^2)/4+(-7/16)*a-15/16 = 0

1/4*a^2-7/16*a-15/16 = 0

DELTA = (-7/16)^2-(-15/16*1/4*4)

DELTA = 289/256

DELTA > 0

a = ((289/256)^(1/2)+7/16)/(1/4*2) or a = (7/16-(289/256)^(1/2))/(1/4*2)

a = 3 or a = -5/4

a in { -5/4, 3 }

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