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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 121/100

DELTA > 0

x = ((121/100)^(1/2)+1/10)/(3/5*2) or x = (1/10-(121/100)^(1/2))/(3/5*2)

x = 1 or x = -5/6

x in { -5/6, 1 }

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