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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 23/75

DELTA > 0

x = ((23/75)^(1/2)+1/5)/(1/3*2) or x = (1/5-(23/75)^(1/2))/(1/3*2)

x = 3/2*((23/75)^(1/2)+1/5) or x = 3/2*(1/5-(23/75)^(1/2))

x in { 3/2*(1/5-(23/75)^(1/2)), 3/2*((23/75)^(1/2)+1/5) }

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