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

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 33/25

DELTA > 0

x = ((33/25)^(1/2)+1)/(2/5*2) or x = (1-(33/25)^(1/2))/(2/5*2)

x = 5/4*((33/25)^(1/2)+1) or x = 5/4*(1-(33/25)^(1/2))

x in { 5/4*(1-(33/25)^(1/2)), 5/4*((33/25)^(1/2)+1) }

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