(x^2)/(85-x)=0.20

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Solution for (x^2)/(85-x)=0.20 equation: 


D( x )

85-x = 0

85-x = 0

85-x = 0

85-x = 0 // - 85

-x = -85 // * -1

x = 85

x in (-oo:85) U (85:+oo)

(x^2)/(85-x) = 0.2 // - 0.2

(x^2)/(85-x)-0.2 = 0

(x^2)/(85-x)+(-0.2*(85-x))/(85-x) = 0

x^2-0.2*(85-x) = 0

x^2+0.2*x-17 = 0

x^2+0.2*x-17 = 0

x^2+0.2*x-17 = 0

DELTA = 0.2^2-(-17*1*4)

DELTA = 0.2^2+68

DELTA = 68.04

DELTA > 0

x = ((0.2^2+68)^(1/2)-0.2)/(1*2) or x = (-(0.2^2+68)^(1/2)-0.2)/(1*2)

x = ((0.2^2+68)^(1/2)-0.2)/2 or x = (-((0.2^2+68)^(1/2)+0.2))/2

(x+((0.2^2+68)^(1/2)+0.2)/2)*(x-(((0.2^2+68)^(1/2)-0.2)/2)) = 0

((x+((0.2^2+68)^(1/2)+0.2)/2)*(x-(((0.2^2+68)^(1/2)-0.2)/2)))/(85-x) = 0

((x+((0.2^2+68)^(1/2)+0.2)/2)*(x-(((0.2^2+68)^(1/2)-0.2)/2)))/(85-x) = 0 // * 85-x

(x+((0.2^2+68)^(1/2)+0.2)/2)*(x-(((0.2^2+68)^(1/2)-0.2)/2)) = 0

( x+((0.2^2+68)^(1/2)+0.2)/2 )

x+((0.2^2+68)^(1/2)+0.2)/2 = 0 // - ((0.2^2+68)^(1/2)+0.2)/2

x = -(((0.2^2+68)^(1/2)+0.2)/2)

( x-(((0.2^2+68)^(1/2)-0.2)/2) )

x-(((0.2^2+68)^(1/2)-0.2)/2) = 0 // + ((0.2^2+68)^(1/2)-0.2)/2

x = ((0.2^2+68)^(1/2)-0.2)/2

x in { -(((0.2^2+68)^(1/2)+0.2)/2), ((0.2^2+68)^(1/2)-0.2)/2 }

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