4/(0,8-x)^2=2/x^2

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Solution for 4/(0,8-x)^2=2/x^2 equation: 


D( x )

(0.8-x)^2 = 0

x^2 = 0

(0.8-x)^2 = 0

(0.8-x)^2 = 0

0.8-x = 0 // - 0.8

-x = -0.8 // * -1

x = 0.8

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:0.8) U (0.8:+oo)

4/((0.8-x)^2) = 2/(x^2) // - 2/(x^2)

4/((0.8-x)^2)-(2/(x^2)) = 0

4/((0.8-x)^2)-2*x^-2 = 0

4/((0.8-x)^2)-2/(x^2) = 0

(4*x^2)/(x^2*(0.8-x)^2)+(-2*(0.8-x)^2)/(x^2*(0.8-x)^2) = 0

4*x^2-2*(0.8-x)^2 = 0

2*x^2+3.2*x-1.28 = 0

2*x^2+3.2*x-1.28 = 0

2*x^2+3.2*x-1.28 = 0

DELTA = 3.2^2-(-1.28*2*4)

DELTA = 3.2^2+10.24

DELTA = 20.48

DELTA > 0

x = ((3.2^2+10.24)^(1/2)-3.2)/(2*2) or x = (-(3.2^2+10.24)^(1/2)-3.2)/(2*2)

x = ((3.2^2+10.24)^(1/2)-3.2)/4 or x = (-((3.2^2+10.24)^(1/2)+3.2))/4

(x+((3.2^2+10.24)^(1/2)+3.2)/4)*(x-(((3.2^2+10.24)^(1/2)-3.2)/4)) = 0

((x+((3.2^2+10.24)^(1/2)+3.2)/4)*(x-(((3.2^2+10.24)^(1/2)-3.2)/4)))/(x^2*(0.8-x)^2) = 0

((x+((3.2^2+10.24)^(1/2)+3.2)/4)*(x-(((3.2^2+10.24)^(1/2)-3.2)/4)))/(x^2*(0.8-x)^2) = 0 // * x^2*(0.8-x)^2

(x+((3.2^2+10.24)^(1/2)+3.2)/4)*(x-(((3.2^2+10.24)^(1/2)-3.2)/4)) = 0

( x+((3.2^2+10.24)^(1/2)+3.2)/4 )

x+((3.2^2+10.24)^(1/2)+3.2)/4 = 0 // - ((3.2^2+10.24)^(1/2)+3.2)/4

x = -(((3.2^2+10.24)^(1/2)+3.2)/4)

( x-(((3.2^2+10.24)^(1/2)-3.2)/4) )

x-(((3.2^2+10.24)^(1/2)-3.2)/4) = 0 // + ((3.2^2+10.24)^(1/2)-3.2)/4

x = ((3.2^2+10.24)^(1/2)-3.2)/4

x in { -(((3.2^2+10.24)^(1/2)+3.2)/4), ((3.2^2+10.24)^(1/2)-3.2)/4 }

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