-1/2x^2+1/2x+14=8

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Solution for -1/2x^2+1/2x+14=8 equation:


x in (-oo:+oo)

(-1/2)*x^2+(1/2)*x+14 = 8 // - 8

(-1/2)*x^2+(1/2)*x-8+14 = 0

1/2*x-1/2*x^2+6 = 0

DELTA = (1/2)^2-(-1/2*4*6)

DELTA = 49/4

DELTA > 0

x = ((49/4)^(1/2)-1/2)/(-1/2*2) or x = (-(49/4)^(1/2)-1/2)/(-1/2*2)

x = -3 or x = 4

x in { -3, 4 }

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