x^2/0.1-x=0.09

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Solution for x^2/0.1-x=0.09 equation: 


x in (-oo:+oo)

(x^2)/0.1-x = 0.09 // - 0.09

(x^2)/0.1-x-0.09 = 0

10*x^2-x-0.09 = 0

DELTA = (-1)^2-(-0.09*4*10)

DELTA = 4.6

DELTA > 0

x = (4.6^(1/2)+1)/(2*10) or x = (1-4.6^(1/2))/(2*10)

x = (4.6^(1/2)+1)/20 or x = (1-4.6^(1/2))/20

x in { (1-4.6^(1/2))/20, (4.6^(1/2)+1)/20 }

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