8/y+4/7=8/7y

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Solution for 8/y+4/7=8/7y equation: 


D( y )

y = 0

y = 0

y = 0

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

8/y+4/7 = (8/7)*y // - (8/7)*y

8/y-((8/7)*y)+4/7 = 0

(-8/7)*y+8/y+4/7 = 0

8*y^-1-8/7*y^1+4/7*y^0 = 0

(4/7*y^1-8/7*y^2+8*y^0)/(y^1) = 0 // * y^2

y^1*(4/7*y^1-8/7*y^2+8*y^0) = 0

y^1

(-8/7)*y^2+(4/7)*y+8 = 0

(-8/7)*y^2+(4/7)*y+8 = 0

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

DELTA = 1808/49

DELTA > 0

y = ((1808/49)^(1/2)-(4/7))/(2*(-8/7)) or y = (-(4/7)-(1808/49)^(1/2))/(2*(-8/7))

y = -7/16*((1808/49)^(1/2)-4/7) or y = 7/16*((1808/49)^(1/2)+4/7)

y in { -7/16*((1808/49)^(1/2)-4/7), 7/16*((1808/49)^(1/2)+4/7)} 

y in { -7/16*((1808/49)^(1/2)-4/7), 7/16*((1808/49)^(1/2)+4/7) }

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