z^2-3=11z/2

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Solution for z^2-3=11z/2 equation: 


z in (-oo:+oo)

z^2-3 = (11*z)/2 // - (11*z)/2

z^2-((11*z)/2)-3 = 0

z^2+(-11/2)*z-3 = 0

z^2-11/2*z-3 = 0

DELTA = (-11/2)^2-(-3*1*4)

DELTA = 169/4

DELTA > 0

z = ((169/4)^(1/2)+11/2)/(1*2) or z = (11/2-(169/4)^(1/2))/(1*2)

z = 6 or z = -1/2

z in { -1/2, 6 }

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