-4/15(x-20)(x-35)=y

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Solution for -4/15(x-20)(x-35)=y equation: 


x in (-oo:+oo)

(-4/15)*(x-20)*(x-35) = y // - y

(-4/15)*(x-20)*(x-35)-y = 0

-4/15*(x-20)*(x-35)-y = 0

-4/15*(x-20)*(x-35)-y = 0

44/3*x-4/15*x^2-y-560/3 = 0

44/3*x-4/15*x^2-y-560/3 = 0

44/3*x-4/15*x^2-y-560/3 = 0

DELTA = (44/3)^2-(-4/15*4*(-y-560/3))

DELTA = 1936/9-16/15*(y+560/3)

1936/9-16/15*(y+560/3) = 0

(-16/15*9*(y+560/3))/9+1936/9 = 0

1936-16/15*9*(y+560/3) = 0

144-48/5*y = 0

(144-48/5*y)/9 = 0

(144-48/5*y)/9 = 0 // * 9

144-48/5*y = 0

144-48/5*y = 0 // - 144

-48/5*y = -144 // : -48/5

y = -144/(-48/5)

y = 15

DELTA = 0  <=>  t_3 = 15

x = -44/3/(-4/15*2) i y = 15

x = 55/2 i y = 15

( x = ((1936/9-16/15*(y+560/3))^(1/2)-44/3)/(-4/15*2) or x = (-(1936/9-16/15*(y+560/3))^(1/2)-44/3)/(-4/15*2) ) i y > 15

( x = -15/8*((1936/9-16/15*(y+560/3))^(1/2)-44/3) or x = 15/8*((1936/9-16/15*(y+560/3))^(1/2)+44/3) ) i y > 15

y-15 > 0

y-15 > 0 // + 15

y > 15

x in { 55/2, -15/8*((1936/9-16/15*(y+560/3))^(1/2)-44/3), 15/8*((1936/9-16/15*(y+560/3))^(1/2)+44/3) }

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