z^2/8-1/4=17z/24

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Solution for z^2/8-1/4=17z/24 equation: 


z in (-oo:+oo)

(z^2)/8-(1/4) = (17*z)/24 // - (17*z)/24

(z^2)/8-((17*z)/24)-(1/4) = 0

(z^2)/8+(-17/24)*z-1/4 = 0

1/8*z^2-17/24*z-1/4 = 0

DELTA = (-17/24)^2-(-1/4*1/8*4)

DELTA = 361/576

DELTA > 0

z = ((361/576)^(1/2)+17/24)/(1/8*2) or z = (17/24-(361/576)^(1/2))/(1/8*2)

z = 6 or z = -1/3

z in { -1/3, 6 }

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