y-7/y=3

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Solution for y-7/y=3 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(7/y) = 3 // - 3

y-(7/y)-3 = 0

y-7*y^-1-3 = 0

1*y^1-7*y^-1-3*y^0 = 0

(1*y^2-3*y^1-7*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-3*y^1-7*y^0) = 0

y^1

y^2-3*y-7 = 0

y^2-3*y-7 = 0

DELTA = (-3)^2-(-7*1*4)

DELTA = 37

DELTA > 0

y = (37^(1/2)+3)/(1*2) or y = (3-37^(1/2))/(1*2)

y = (37^(1/2)+3)/2 or y = (3-37^(1/2))/2

y in { (3-37^(1/2))/2, (37^(1/2)+3)/2} 

y in { (3-37^(1/2))/2, (37^(1/2)+3)/2 }

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