y=x/4(x-8)

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Solution for y=x/4(x-8) equation:


x in (-oo:+oo)

y = (x/4)*(x-8) // - (x/4)*(x-8)

y-((x/4)*(x-8)) = 0

y-1*1/4*x*(x-8) = 0

y-1*1/4*x*(x-8) = 0

2*x-1/4*x^2+y = 0

2*x-1/4*x^2+y = 0

2*x-1/4*x^2+y = 0

DELTA = 2^2-(-1/4*4*y)

DELTA = y+4

y+4 = 0

y+4 = 0 // - 4

y = -4

DELTA = 0 <=> t_3 = -4

x = -2/(-1/4*2) i y = -4

x = 4 i y = -4

( x = ((y+4)^(1/2)-2)/(-1/4*2) or x = (-(y+4)^(1/2)-2)/(-1/4*2) ) i y > -4

( x = -2*((y+4)^(1/2)-2) or x = 2*((y+4)^(1/2)+2) ) i y > -4

y+4 > 0

y+4 > 0 // - 4

y > -4

x in { 4, -2*((y+4)^(1/2)-2), 2*((y+4)^(1/2)+2) }

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