4/y-y/2=7/2

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Solution for 4/y-y/2=7/2 equation: 


D( y )

y = 0

y = 0

y = 0

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

4/y-(y/2) = 7/2 // - 7/2

4/y-(y/2)-(7/2) = 0

4/y-(y/2)-7/2 = 0

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

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

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

y^1

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

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

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

DELTA = 81/4

DELTA > 0

y = ((81/4)^(1/2)-(-7/2))/(2*(-1/2)) or y = (-(-7/2)-(81/4)^(1/2))/(2*(-1/2))

y = -8 or y = 1

y in { -8, 1} 

y in { -8, 1 }

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