1/5x^2-3/2x=4/10

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Solution for 1/5x^2-3/2x=4/10 equation: 


x in (-oo:+oo)

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

(1/5)*x^2-((3/2)*x)-(4/10) = 0

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

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

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

DELTA = 257/100

DELTA > 0

x = ((257/100)^(1/2)+3/2)/(1/5*2) or x = (3/2-(257/100)^(1/2))/(1/5*2)

x = 5/2*((257/100)^(1/2)+3/2) or x = 5/2*(3/2-(257/100)^(1/2))

x in { 5/2*(3/2-(257/100)^(1/2)), 5/2*((257/100)^(1/2)+3/2) }

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