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

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


a in (-oo:+oo)

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

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

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

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

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

DELTA = 289/16

DELTA > 0

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

a = 6 or a = -5/2

a in { -5/2, 6 }

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