y=1/4*x^2-x-7

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Solution for y=1/4*x^2-x-7 equation:


x in (-oo:+oo)

y = (1/4)*x^2-x-7 // - (1/4)*x^2-x-7

x-((1/4)*x^2)+y+7 = 0

(-1/4)*x^2+x+y+7 = 0

x-1/4*x^2+y+7 = 0

DELTA = 1^2-(-1/4*4*(y+7))

DELTA = y+8

y+8 = 0

y+8 = 0 // - 8

y = -8

DELTA = 0 <=> t_1 = -8

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

x = 2 i y = -8

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

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

y+8 > 0

y+8 > 0 // - 8

y > -8

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

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