25/8=(1-y)(3-y)(6-y)

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Solution for 25/8=(1-y)(3-y)(6-y) equation: 


y in (-oo:+oo)

25/8 = (1-y)*(3-y)*(6-y) // - (1-y)*(3-y)*(6-y)

25/8-((1-y)*(3-y)*(6-y)) = 0

25/8-1*(1-y)*(3-y)*(6-y) = 0

(-1*8*(1-y)*(3-y)*(6-y))/8+25/8 = 0

25-1*8*(1-y)*(3-y)*(6-y) = 0

8*y^3-80*y^2+216*y-119 = 0

8*y^3-80*y^2+216*y-119 = 0

8*y^3-80*y^2+216*y-119 = 0

{ 1, -1, 7, -7, 17, -17, 119, -119 }

1

y = 1

8*y^3-80*y^2+216*y-119 = 25

1

-1

y = -1

8*y^3-80*y^2+216*y-119 = -423

-1

7

y = 7

8*y^3-80*y^2+216*y-119 = 217

7

-7

y = -7

8*y^3-80*y^2+216*y-119 = -8295

-7

17

y = 17

8*y^3-80*y^2+216*y-119 = 19737

17

-17

y = -17

8*y^3-80*y^2+216*y-119 = -66215

-17

119

y = 119

8*y^3-80*y^2+216*y-119 = 12373977

119

-119

y = -119

8*y^3-80*y^2+216*y-119 = -14639975

-119

{ 1/2, -1/2, 1/4, -1/4, 1/8, -1/8, -1/2, 1/2, -1/4, 1/4, -1/8, 1/8, 7/2, -7/2, 7/4, -7/4, 7/8, -7/8, -7/2, 7/2, -7/4, 7/4, -7/8, 7/8, 17/2, -17/2, 17/4, -17/4, 17/8, -17/8, -17/2, 17/2, -17/4, 17/4, -17/8, 17/8, 119/2, -119/2, 119/4, -119/4, 119/8, -119/8, -119/2, 119/2, -119/4, 119/4, -119/8, 119/8 }

1/2

y

1/2

8*y^3-80*y^2+216*y-119 = -30

1/2

-1/2

y

-1/2

8*y^3-80*y^2+216*y-119 = -248

-1/2

1/4

y

1/4

8*y^3-80*y^2+216*y-119 = -69.875

1/4

-1/4

y

-1/4

8*y^3-80*y^2+216*y-119 = -178.125

-1/4

1/8

y

1/8

8*y^3-80*y^2+216*y-119 = -93.234375

1/8

-1/8

y

-1/8

8*y^3-80*y^2+216*y-119 = -147.265625

-1/8

-1/2

y

-1/2

8*y^3-80*y^2+216*y-119 = -248

-1/2

1/2

y

1/2

8*y^3-80*y^2+216*y-119 = -30

1/2

-1/4

y

-1/4

8*y^3-80*y^2+216*y-119 = -178.125

-1/4

1/4

y

1/4

8*y^3-80*y^2+216*y-119 = -69.875

1/4

-1/8

y

-1/8

8*y^3-80*y^2+216*y-119 = -147.265625

-1/8

1/8

y

1/8

8*y^3-80*y^2+216*y-119 = -93.234375

1/8

7/2

y

7/2

8*y^3-80*y^2+216*y-119 = 0

7/2

y-7/2

8*y^2-52*y+34

8*y^3-80*y^2+216*y-119

y-7/2

28*y^2-8*y^3

216*y-52*y^2-119

52*y^2-182*y

34*y-119

119-34*y

0

8*y^2-52*y+34 = 0

DELTA = (-52)^2-(4*8*34)

DELTA = 1616

DELTA > 0

y = (1616^(1/2)+52)/(2*8) or y = (52-1616^(1/2))/(2*8)

y = (4*101^(1/2)+52)/16 or y = (52-4*101^(1/2))/16

y in { (52-4*101^(1/2))/16, (4*101^(1/2)+52)/16, 7/2} 

(y-((52-4*101^(1/2))/16))*(y-((4*101^(1/2)+52)/16))*(y-7/2) = 0

((y-((52-4*101^(1/2))/16))*(y-((4*101^(1/2)+52)/16))*(y-7/2))/8 = 0

((y-((52-4*101^(1/2))/16))*(y-((4*101^(1/2)+52)/16))*(y-7/2))/8 = 0 // * 8

(y-((52-4*101^(1/2))/16))*(y-((4*101^(1/2)+52)/16))*(y-7/2) = 0

( y-((4*101^(1/2)+52)/16) )

y-((4*101^(1/2)+52)/16) = 0 // + (4*101^(1/2)+52)/16

y = (4*101^(1/2)+52)/16

( y-((52-4*101^(1/2))/16) )

y-((52-4*101^(1/2))/16) = 0 // + (52-4*101^(1/2))/16

y = (52-4*101^(1/2))/16

( y-7/2 )

y-7/2 = 0 // + 7/2

y = 7/2

y in { (4*101^(1/2)+52)/16, (52-4*101^(1/2))/16, 7/2 }

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