(x^2/3)=(x/2)+(5/6)

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Solution for (x^2/3)=(x/2)+(5/6) equation:


x in (-oo:+oo)

(x^2)/3 = x/2+5/6 // - x/2+5/6

(x^2)/3-(x/2)-(5/6) = 0

(x^2)/3-(x/2)-5/6 = 0

1/3*x^2-1/2*x-5/6 = 0

DELTA = (-1/2)^2-(-5/6*1/3*4)

DELTA = 49/36

DELTA > 0

x = ((49/36)^(1/2)+1/2)/(1/3*2) or x = (1/2-(49/36)^(1/2))/(1/3*2)

x = 5/2 or x = -1

x in { -1, 5/2 }

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