x^2/(0.2-x)=0.17

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Solution for x^2/(0.2-x)=0.17 equation: 


D( x )

0.2-x = 0

0.2-x = 0

0.2-x = 0

0.2-x = 0 // - 0.2

-x = -0.2 // * -1

x = 0.2

x in (-oo:0.2) U (0.2:+oo)

(x^2)/(0.2-x) = 0.17 // - 0.17

(x^2)/(0.2-x)-0.17 = 0

(x^2)/(0.2-x)+(-0.17*(0.2-x))/(0.2-x) = 0

x^2-0.17*(0.2-x) = 0

x^2+0.17*x-0.034 = 0

x^2+0.17*x-0.034 = 0

x^2+0.17*x-0.034 = 0

DELTA = 0.17^2-(-0.034*1*4)

DELTA = 0.17^2+0.136

DELTA = 0.1649

DELTA > 0

x = ((0.17^2+0.136)^(1/2)-0.17)/(1*2) or x = (-(0.17^2+0.136)^(1/2)-0.17)/(1*2)

x = ((0.17^2+0.136)^(1/2)-0.17)/2 or x = (-((0.17^2+0.136)^(1/2)+0.17))/2

(x+((0.17^2+0.136)^(1/2)+0.17)/2)*(x-(((0.17^2+0.136)^(1/2)-0.17)/2)) = 0

((x+((0.17^2+0.136)^(1/2)+0.17)/2)*(x-(((0.17^2+0.136)^(1/2)-0.17)/2)))/(0.2-x) = 0

((x+((0.17^2+0.136)^(1/2)+0.17)/2)*(x-(((0.17^2+0.136)^(1/2)-0.17)/2)))/(0.2-x) = 0 // * 0.2-x

(x+((0.17^2+0.136)^(1/2)+0.17)/2)*(x-(((0.17^2+0.136)^(1/2)-0.17)/2)) = 0

( x+((0.17^2+0.136)^(1/2)+0.17)/2 )

x+((0.17^2+0.136)^(1/2)+0.17)/2 = 0 // - ((0.17^2+0.136)^(1/2)+0.17)/2

x = -(((0.17^2+0.136)^(1/2)+0.17)/2)

( x-(((0.17^2+0.136)^(1/2)-0.17)/2) )

x-(((0.17^2+0.136)^(1/2)-0.17)/2) = 0 // + ((0.17^2+0.136)^(1/2)-0.17)/2

x = ((0.17^2+0.136)^(1/2)-0.17)/2

x in { -(((0.17^2+0.136)^(1/2)+0.17)/2), ((0.17^2+0.136)^(1/2)-0.17)/2 }

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