1+4/y=11/12y

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Solution for 1+4/y=11/12y equation:


D( y )

y = 0

y = 0

y = 0

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

4/y+1 = (11/12)*y // - (11/12)*y

4/y-((11/12)*y)+1 = 0

(-11/12)*y+4/y+1 = 0

4*y^-1-11/12*y^1+1*y^0 = 0

(1*y^1-11/12*y^2+4*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^1-11/12*y^2+4*y^0) = 0

y^1

(-11/12)*y^2+y+4 = 0

(-11/12)*y^2+y+4 = 0

DELTA = 1^2-(4*4*(-11/12))

DELTA = 47/3

DELTA > 0

y = ((47/3)^(1/2)-1)/(2*(-11/12)) or y = (-(47/3)^(1/2)-1)/(2*(-11/12))

y = -6/11*((47/3)^(1/2)-1) or y = 6/11*((47/3)^(1/2)+1)

y in { -6/11*((47/3)^(1/2)-1), 6/11*((47/3)^(1/2)+1)}

y in { -6/11*((47/3)^(1/2)-1), 6/11*((47/3)^(1/2)+1) }

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