x^2/3-x/2=9

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Solution for x^2/3-x/2=9 equation:


x in (-oo:+oo)

(x^2)/3-(x/2) = 9 // - 9

(x^2)/3-(x/2)-9 = 0

1/3*x^2-1/2*x-9 = 0

DELTA = (-1/2)^2-(-9*1/3*4)

DELTA = 49/4

DELTA > 0

x = ((49/4)^(1/2)+1/2)/(1/3*2) or x = (1/2-(49/4)^(1/2))/(1/3*2)

x = 6 or x = -9/2

x in { -9/2, 6 }

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