(1/(2y-8))+4=-2/y-4

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Solution for (1/(2y-8))+4=-2/y-4 equation:


D( y )

y = 0

2*y-8 = 0

y = 0

y = 0

2*y-8 = 0

2*y-8 = 0

2*y-8 = 0 // + 8

2*y = 8 // : 2

y = 8/2

y = 4

y in (-oo:0) U (0:4) U (4:+oo)

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

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

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

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

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

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

8*y^2+8*y^2+5*y-32*y-32*y-16 = 0

8*y^2+8*y^2-27*y-32*y-16 = 0

16*y^2-59*y-16 = 0

16*y^2-59*y-16 = 0

16*y^2-59*y-16 = 0

DELTA = (-59)^2-(-16*4*16)

DELTA = 4505

DELTA > 0

y = (4505^(1/2)+59)/(2*16) or y = (59-4505^(1/2))/(2*16)

y = (4505^(1/2)+59)/32 or y = (59-4505^(1/2))/32

(y-((59-4505^(1/2))/32))*(y-((4505^(1/2)+59)/32)) = 0

((y-((59-4505^(1/2))/32))*(y-((4505^(1/2)+59)/32)))/(y*(2*y-8)) = 0

((y-((59-4505^(1/2))/32))*(y-((4505^(1/2)+59)/32)))/(y*(2*y-8)) = 0 // * y*(2*y-8)

(y-((59-4505^(1/2))/32))*(y-((4505^(1/2)+59)/32)) = 0

( y-((4505^(1/2)+59)/32) )

y-((4505^(1/2)+59)/32) = 0 // + (4505^(1/2)+59)/32

y = (4505^(1/2)+59)/32

( y-((59-4505^(1/2))/32) )

y-((59-4505^(1/2))/32) = 0 // + (59-4505^(1/2))/32

y = (59-4505^(1/2))/32

y in { (4505^(1/2)+59)/32, (59-4505^(1/2))/32 }

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