-1/4x^2+8x+c=0

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Solution for -1/4x^2+8x+c=0 equation: 


x in (-oo:+oo)

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

c-1/4*x^2+8*x = 0

DELTA = 8^2-(-1/4*4*c)

DELTA = c+64

c+64 = 0

c+64 = 0 // - 64

c = -64

DELTA = 0  <=>  t_1 = -64

x = -8/(-1/4*2) i c = -64

x = 16 i c = -64

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

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

c+64 > 0

c+64 > 0 // - 64

c > -64

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

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