y-7/y-4

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Solution for y-7/y-4 equation: 


D( y )

y = 0

y = 0

y = 0

y in (-oo:0) U (0:+oo)

y-(7/y)-4 = 0

y-7*y^-1-4 = 0

1*y^1-7*y^-1-4*y^0 = 0

(1*y^2-4*y^1-7*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-4*y^1-7*y^0) = 0

y^1

y^2-4*y-7 = 0

y^2-4*y-7 = 0

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

DELTA = 44

DELTA > 0

y = (44^(1/2)+4)/(1*2) or y = (4-44^(1/2))/(1*2)

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

y in { (4-2*11^(1/2))/2, (2*11^(1/2)+4)/2} 

y in { (4-2*11^(1/2))/2, (2*11^(1/2)+4)/2 }

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