x^2/(2-2x)=8.7^1/2

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Solution for x^2/(2-2x)=8.7^1/2 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)) = (8.7^1)/2 // - (8.7^1)/2

(x^2)/(2-(2*x))-((8.7^1)/2) = 0

(x^2)/(2-2*x)-4.35 = 0

(x^2)/(2-2*x)+(-4.35*(2-2*x))/(2-2*x) = 0

x^2-4.35*(2-2*x) = 0

x^2+8.7*x-8.7 = 0

x^2+8.7*x-8.7 = 0

x^2+8.7*x-8.7 = 0

DELTA = 8.7^2-(-8.7*1*4)

DELTA = 8.7^2+34.8

DELTA = 110.49

DELTA > 0

x = ((8.7^2+34.8)^(1/2)-8.7)/(1*2) or x = (-(8.7^2+34.8)^(1/2)-8.7)/(1*2)

x = ((8.7^2+34.8)^(1/2)-8.7)/2 or x = (-((8.7^2+34.8)^(1/2)+8.7))/2

(x+((8.7^2+34.8)^(1/2)+8.7)/2)*(x-(((8.7^2+34.8)^(1/2)-8.7)/2)) = 0

((x+((8.7^2+34.8)^(1/2)+8.7)/2)*(x-(((8.7^2+34.8)^(1/2)-8.7)/2)))/(2-2*x) = 0

((x+((8.7^2+34.8)^(1/2)+8.7)/2)*(x-(((8.7^2+34.8)^(1/2)-8.7)/2)))/(2-2*x) = 0 // * 2-2*x

(x+((8.7^2+34.8)^(1/2)+8.7)/2)*(x-(((8.7^2+34.8)^(1/2)-8.7)/2)) = 0

( x+((8.7^2+34.8)^(1/2)+8.7)/2 )

x+((8.7^2+34.8)^(1/2)+8.7)/2 = 0 // - ((8.7^2+34.8)^(1/2)+8.7)/2

x = -(((8.7^2+34.8)^(1/2)+8.7)/2)

( x-(((8.7^2+34.8)^(1/2)-8.7)/2) )

x-(((8.7^2+34.8)^(1/2)-8.7)/2) = 0 // + ((8.7^2+34.8)^(1/2)-8.7)/2

x = ((8.7^2+34.8)^(1/2)-8.7)/2

x in { -(((8.7^2+34.8)^(1/2)+8.7)/2), ((8.7^2+34.8)^(1/2)-8.7)/2 }

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