x/(0.93-x)^2=12

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Solution for x/(0.93-x)^2=12 equation: 


D( x )

(0.93-x)^2 = 0

(0.93-x)^2 = 0

(0.93-x)^2 = 0

0.93-x = 0 // - 0.93

-x = -0.93 // * -1

x = 0.93

x in (-oo:0.93) U (0.93:+oo)

x/((0.93-x)^2) = 12 // - 12

x/((0.93-x)^2)-12 = 0

x/((0.93-x)^2)+(-12*(0.93-x)^2)/((0.93-x)^2) = 0

x-12*(0.93-x)^2 = 0

23.32*x-12*x^2-10.3788 = 0

23.32*x-12*x^2-10.3788 = 0

23.32*x-12*x^2-10.3788 = 0

DELTA = 23.32^2-(-12*(-10.3788)*4)

DELTA = 23.32^2-498.1824

DELTA = 45.64

DELTA > 0

x = ((23.32^2-498.1824)^(1/2)-23.32)/(-12*2) or x = (-(23.32^2-498.1824)^(1/2)-23.32)/(-12*2)

x = ((23.32^2-498.1824)^(1/2)-23.32)/(-24) or x = ((23.32^2-498.1824)^(1/2)+23.32)/24

(x-(((23.32^2-498.1824)^(1/2)-23.32)/(-24)))*(x-(((23.32^2-498.1824)^(1/2)+23.32)/24)) = 0

((x-(((23.32^2-498.1824)^(1/2)-23.32)/(-24)))*(x-(((23.32^2-498.1824)^(1/2)+23.32)/24)))/((0.93-x)^2) = 0

((x-(((23.32^2-498.1824)^(1/2)-23.32)/(-24)))*(x-(((23.32^2-498.1824)^(1/2)+23.32)/24)))/((0.93-x)^2) = 0 // * (0.93-x)^2

(x-(((23.32^2-498.1824)^(1/2)-23.32)/(-24)))*(x-(((23.32^2-498.1824)^(1/2)+23.32)/24)) = 0

( x-(((23.32^2-498.1824)^(1/2)+23.32)/24) )

x-(((23.32^2-498.1824)^(1/2)+23.32)/24) = 0 // + ((23.32^2-498.1824)^(1/2)+23.32)/24

x = ((23.32^2-498.1824)^(1/2)+23.32)/24

( x-(((23.32^2-498.1824)^(1/2)-23.32)/(-24)) )

x-(((23.32^2-498.1824)^(1/2)-23.32)/(-24)) = 0 // + ((23.32^2-498.1824)^(1/2)-23.32)/(-24)

x = ((23.32^2-498.1824)^(1/2)-23.32)/(-24)

x in { ((23.32^2-498.1824)^(1/2)+23.32)/24, ((23.32^2-498.1824)^(1/2)-23.32)/(-24) }

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