y-7/y+3=7/8

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Solution for y-7/y+3=7/8 equation: 


D( y )

y = 0

y = 0

y = 0

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

y-(7/y)+3 = 7/8 // - 7/8

y-(7/y)-(7/8)+3 = 0

y-7*y^-1-7/8+3 = 0

1*y^1-7*y^-1+17/8*y^0 = 0

(1*y^2+17/8*y^1-7*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2+17/8*y^1-7*y^0) = 0

y^1

y^2+(17/8)*y-7 = 0

y^2+(17/8)*y-7 = 0

DELTA = (17/8)^2-(-7*1*4)

DELTA = 2081/64

DELTA > 0

y = ((2081/64)^(1/2)-(17/8))/(1*2) or y = (-(17/8)-(2081/64)^(1/2))/(1*2)

y = ((2081/64)^(1/2)-17/8)/2 or y = (-((2081/64)^(1/2)+17/8))/2

y in { (-((2081/64)^(1/2)+17/8))/2, ((2081/64)^(1/2)-17/8)/2} 

y in { (-((2081/64)^(1/2)+17/8))/2, ((2081/64)^(1/2)-17/8)/2 }

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