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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 14/25

DELTA > 0

x = ((14/25)^(1/2)+3/5)/(1/10*2) or x = (3/5-(14/25)^(1/2))/(1/10*2)

x = 5*((14/25)^(1/2)+3/5) or x = 5*(3/5-(14/25)^(1/2))

x in { 5*(3/5-(14/25)^(1/2)), 5*((14/25)^(1/2)+3/5) }

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