x^2/5-3x/10=1/2

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Solution for x^2/5-3x/10=1/2 equation: 


x in (-oo:+oo)

(x^2)/5-((3*x)/10) = 1/2 // - 1/2

(x^2)/5-((3*x)/10)-(1/2) = 0

(x^2)/5+(-3/10)*x-1/2 = 0

1/5*x^2-3/10*x-1/2 = 0

DELTA = (-3/10)^2-(-1/2*1/5*4)

DELTA = 49/100

DELTA > 0

x = ((49/100)^(1/2)+3/10)/(1/5*2) or x = (3/10-(49/100)^(1/2))/(1/5*2)

x = 5/2 or x = -1

x in { -1, 5/2 }

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