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

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


D( x )

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

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

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

(0.8-2*x)^2 = 0

0.8-2*x = 0 // - 0.8

-2*x = -0.8 // : -2

x = -0.8/(-2)

x = 0.4

x in (-oo:0.4) U (0.4:+oo)

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

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

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

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

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

7.4*x-8*x^2-2*0.8^2 = 0

7.4*x-8*x^2-2*0.8^2 = 0

7.4*x-8*x^2-2*0.8^2 = 0

DELTA = 7.4^2-(-8*(-2)*4*0.8^2)

DELTA = 7.4^2-64*0.8^2

DELTA = 13.8

DELTA > 0

x = ((7.4^2-64*0.8^2)^(1/2)-7.4)/(-8*2) or x = (-(7.4^2-64*0.8^2)^(1/2)-7.4)/(-8*2)

x = ((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16) or x = ((7.4^2-64*0.8^2)^(1/2)+7.4)/16

(x-(((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)))*(x-(((7.4^2-64*0.8^2)^(1/2)+7.4)/16)) = 0

((x-(((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)))*(x-(((7.4^2-64*0.8^2)^(1/2)+7.4)/16)))/((0.8-2*x)^2) = 0

((x-(((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)))*(x-(((7.4^2-64*0.8^2)^(1/2)+7.4)/16)))/((0.8-2*x)^2) = 0 // * (0.8-2*x)^2

(x-(((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)))*(x-(((7.4^2-64*0.8^2)^(1/2)+7.4)/16)) = 0

( x-(((7.4^2-64*0.8^2)^(1/2)+7.4)/16) )

x-(((7.4^2-64*0.8^2)^(1/2)+7.4)/16) = 0 // + ((7.4^2-64*0.8^2)^(1/2)+7.4)/16

x = ((7.4^2-64*0.8^2)^(1/2)+7.4)/16

( x-(((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)) )

x-(((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)) = 0 // + ((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)

x = ((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16)

x in { ((7.4^2-64*0.8^2)^(1/2)+7.4)/16, ((7.4^2-64*0.8^2)^(1/2)-7.4)/(-16) }

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