z^2-4/3z=-1/4

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Solution for z^2-4/3z=-1/4 equation: 


z in (-oo:+oo)

z^2-((4/3)*z) = -1/4 // + -1/4

z^2-((4/3)*z)-(-1/4) = 0

z^2+(-4/3)*z+1/4 = 0

z^2-4/3*z+1/4 = 0

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

DELTA = 7/9

DELTA > 0

z = ((7/9)^(1/2)+4/3)/(1*2) or z = (4/3-(7/9)^(1/2))/(1*2)

z = ((7/9)^(1/2)+4/3)/2 or z = (4/3-(7/9)^(1/2))/2

z in { (4/3-(7/9)^(1/2))/2, ((7/9)^(1/2)+4/3)/2 }

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