x/(0.72-x)^2=12

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Solution for x/(0.72-x)^2=12 equation: 


D( x )

(0.72-x)^2 = 0

(0.72-x)^2 = 0

(0.72-x)^2 = 0

0.72-x = 0 // - 0.72

-x = -0.72 // * -1

x = 0.72

x in (-oo:0.72) U (0.72:+oo)

x/((0.72-x)^2) = 12 // - 12

x/((0.72-x)^2)-12 = 0

x/((0.72-x)^2)+(-12*(0.72-x)^2)/((0.72-x)^2) = 0

x-12*(0.72-x)^2 = 0

18.28*x-12*x^2-6.2208 = 0

18.28*x-12*x^2-6.2208 = 0

18.28*x-12*x^2-6.2208 = 0

DELTA = 18.28^2-(-12*(-6.2208)*4)

DELTA = 18.28^2-298.5984

DELTA = 35.56

DELTA > 0

x = ((18.28^2-298.5984)^(1/2)-18.28)/(-12*2) or x = (-(18.28^2-298.5984)^(1/2)-18.28)/(-12*2)

x = ((18.28^2-298.5984)^(1/2)-18.28)/(-24) or x = ((18.28^2-298.5984)^(1/2)+18.28)/24

(x-(((18.28^2-298.5984)^(1/2)-18.28)/(-24)))*(x-(((18.28^2-298.5984)^(1/2)+18.28)/24)) = 0

((x-(((18.28^2-298.5984)^(1/2)-18.28)/(-24)))*(x-(((18.28^2-298.5984)^(1/2)+18.28)/24)))/((0.72-x)^2) = 0

((x-(((18.28^2-298.5984)^(1/2)-18.28)/(-24)))*(x-(((18.28^2-298.5984)^(1/2)+18.28)/24)))/((0.72-x)^2) = 0 // * (0.72-x)^2

(x-(((18.28^2-298.5984)^(1/2)-18.28)/(-24)))*(x-(((18.28^2-298.5984)^(1/2)+18.28)/24)) = 0

( x-(((18.28^2-298.5984)^(1/2)+18.28)/24) )

x-(((18.28^2-298.5984)^(1/2)+18.28)/24) = 0 // + ((18.28^2-298.5984)^(1/2)+18.28)/24

x = ((18.28^2-298.5984)^(1/2)+18.28)/24

( x-(((18.28^2-298.5984)^(1/2)-18.28)/(-24)) )

x-(((18.28^2-298.5984)^(1/2)-18.28)/(-24)) = 0 // + ((18.28^2-298.5984)^(1/2)-18.28)/(-24)

x = ((18.28^2-298.5984)^(1/2)-18.28)/(-24)

x in { ((18.28^2-298.5984)^(1/2)+18.28)/24, ((18.28^2-298.5984)^(1/2)-18.28)/(-24) }

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