4=(x/(0.9-2x)^2)

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Solution for 4=(x/(0.9-2x)^2) equation: 


D( x )

(0.9-(2*x))^2 = 0

(0.9-(2*x))^2 = 0

(0.9-(2*x))^2 = 0

(0.9-2*x)^2 = 0

0.9-2*x = 0 // - 0.9

-2*x = -0.9 // : -2

x = -0.9/(-2)

x = 0.45

x in (-oo:0.45) U (0.45:+oo)

4 = x/((0.9-(2*x))^2) // - x/((0.9-(2*x))^2)

4-(x/((0.9-(2*x))^2)) = 0

4-(x/((0.9-2*x)^2)) = 0

(-1*x)/((0.9-2*x)^2)+4 = 0

(-1*x)/((0.9-2*x)^2)+(4*(0.9-2*x)^2)/((0.9-2*x)^2) = 0

4*(0.9-2*x)^2-1*x = 0

16*x^2-15.4*x+3.24 = 0

16*x^2-15.4*x+3.24 = 0

16*x^2-15.4*x+3.24 = 0

DELTA = (-15.4)^2-(3.24*4*16)

DELTA = 15.4^2-207.36

DELTA = 29.8

DELTA > 0

x = ((15.4^2-207.36)^(1/2)+15.4)/(2*16) or x = (15.4-(15.4^2-207.36)^(1/2))/(2*16)

x = ((15.4^2-207.36)^(1/2)+15.4)/32 or x = (15.4-(15.4^2-207.36)^(1/2))/32

(x-((15.4-(15.4^2-207.36)^(1/2))/32))*(x-(((15.4^2-207.36)^(1/2)+15.4)/32)) = 0

((x-((15.4-(15.4^2-207.36)^(1/2))/32))*(x-(((15.4^2-207.36)^(1/2)+15.4)/32)))/((0.9-2*x)^2) = 0

((x-((15.4-(15.4^2-207.36)^(1/2))/32))*(x-(((15.4^2-207.36)^(1/2)+15.4)/32)))/((0.9-2*x)^2) = 0 // * (0.9-2*x)^2

(x-((15.4-(15.4^2-207.36)^(1/2))/32))*(x-(((15.4^2-207.36)^(1/2)+15.4)/32)) = 0

( x-(((15.4^2-207.36)^(1/2)+15.4)/32) )

x-(((15.4^2-207.36)^(1/2)+15.4)/32) = 0 // + ((15.4^2-207.36)^(1/2)+15.4)/32

x = ((15.4^2-207.36)^(1/2)+15.4)/32

( x-((15.4-(15.4^2-207.36)^(1/2))/32) )

x-((15.4-(15.4^2-207.36)^(1/2))/32) = 0 // + (15.4-(15.4^2-207.36)^(1/2))/32

x = (15.4-(15.4^2-207.36)^(1/2))/32

x in { ((15.4^2-207.36)^(1/2)+15.4)/32, (15.4-(15.4^2-207.36)^(1/2))/32 }

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