x^2/(2-2x)=8.7

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Solution for x^2/(2-2x)=8.7 equation: 


D( x )

2-(2*x) = 0

2-(2*x) = 0

2-(2*x) = 0

2-2*x = 0

2-2*x = 0 // - 2

-2*x = -2 // : -2

x = -2/(-2)

x = 1

x in (-oo:1) U (1:+oo)

(x^2)/(2-(2*x)) = 8.7 // - 8.7

(x^2)/(2-(2*x))-8.7 = 0

(x^2)/(2-2*x)-8.7 = 0

(x^2)/(2-2*x)+(-8.7*(2-2*x))/(2-2*x) = 0

x^2-8.7*(2-2*x) = 0

x^2+17.4*x-17.4 = 0

x^2+17.4*x-17.4 = 0

x^2+17.4*x-17.4 = 0

DELTA = 17.4^2-(-17.4*1*4)

DELTA = 17.4^2+69.6

DELTA = 372.36

DELTA > 0

x = ((17.4^2+69.6)^(1/2)-17.4)/(1*2) or x = (-(17.4^2+69.6)^(1/2)-17.4)/(1*2)

x = ((17.4^2+69.6)^(1/2)-17.4)/2 or x = (-((17.4^2+69.6)^(1/2)+17.4))/2

(x+((17.4^2+69.6)^(1/2)+17.4)/2)*(x-(((17.4^2+69.6)^(1/2)-17.4)/2)) = 0

((x+((17.4^2+69.6)^(1/2)+17.4)/2)*(x-(((17.4^2+69.6)^(1/2)-17.4)/2)))/(2-2*x) = 0

((x+((17.4^2+69.6)^(1/2)+17.4)/2)*(x-(((17.4^2+69.6)^(1/2)-17.4)/2)))/(2-2*x) = 0 // * 2-2*x

(x+((17.4^2+69.6)^(1/2)+17.4)/2)*(x-(((17.4^2+69.6)^(1/2)-17.4)/2)) = 0

( x+((17.4^2+69.6)^(1/2)+17.4)/2 )

x+((17.4^2+69.6)^(1/2)+17.4)/2 = 0 // - ((17.4^2+69.6)^(1/2)+17.4)/2

x = -(((17.4^2+69.6)^(1/2)+17.4)/2)

( x-(((17.4^2+69.6)^(1/2)-17.4)/2) )

x-(((17.4^2+69.6)^(1/2)-17.4)/2) = 0 // + ((17.4^2+69.6)^(1/2)-17.4)/2

x = ((17.4^2+69.6)^(1/2)-17.4)/2

x in { -(((17.4^2+69.6)^(1/2)+17.4)/2), ((17.4^2+69.6)^(1/2)-17.4)/2 }

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