x^2/2-3x/20=1/5

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Solution for x^2/2-3x/20=1/5 equation:


x in (-oo:+oo)

(x^2)/2-((3*x)/20) = 1/5 // - 1/5

(x^2)/2-((3*x)/20)-(1/5) = 0

(x^2)/2+(-3/20)*x-1/5 = 0

1/2*x^2-3/20*x-1/5 = 0

DELTA = (-3/20)^2-(-1/5*1/2*4)

DELTA = 169/400

DELTA > 0

x = ((169/400)^(1/2)+3/20)/(1/2*2) or x = (3/20-(169/400)^(1/2))/(1/2*2)

x = 4/5 or x = -1/2

x in { -1/2, 4/5 }

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