y=(x^2-8x)/4

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Solution for y=(x^2-8x)/4 equation:


x in (-oo:+oo)

y = (x^2-(8*x))/4 // - (x^2-(8*x))/4

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

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

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

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

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

8*x-x^2+4*y = 0

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

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

8*x-x^2+4*y = 0

8*x-x^2+4*y = 0

DELTA = 8^2-(-1*4*4*y)

DELTA = 16*y+64

16*y+64 = 0

16*y+64 = 0 // - 64

16*y = -64 // : 16

y = -64/16

y = -4

DELTA = 0 <=> t_3 = -4

x = -8/(-1*2) i y = -4

x = 4 i y = -4

( x = ((16*y+64)^(1/2)-8)/(-1*2) or x = (-(16*y+64)^(1/2)-8)/(-1*2) ) i y > -4

( x = ((16*y+64)^(1/2)-8)/(-2) or x = ((16*y+64)^(1/2)+8)/2 ) i y > -4

y+4 > 0

y+4 > 0 // - 4

y > -4

x in { 4, ((16*y+64)^(1/2)-8)/(-2), ((16*y+64)^(1/2)+8)/2 }

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