144=x/(0.2-x)^2

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Solution for 144=x/(0.2-x)^2 equation: 


D( x )

(0.2-x)^2 = 0

(0.2-x)^2 = 0

(0.2-x)^2 = 0

0.2-x = 0 // - 0.2

-x = -0.2 // * -1

x = 0.2

x in (-oo:0.2) U (0.2:+oo)

144 = x/((0.2-x)^2) // - x/((0.2-x)^2)

144-(x/((0.2-x)^2)) = 0

(-1*x)/((0.2-x)^2)+144 = 0

(-1*x)/((0.2-x)^2)+(144*(0.2-x)^2)/((0.2-x)^2) = 0

144*(0.2-x)^2-1*x = 0

144*x^2-58.6*x+5.76 = 0

144*x^2-58.6*x+5.76 = 0

144*x^2-58.6*x+5.76 = 0

DELTA = (-58.6)^2-(4*5.76*144)

DELTA = 58.6^2-3317.76

DELTA = 116.2

DELTA > 0

x = ((58.6^2-3317.76)^(1/2)+58.6)/(2*144) or x = (58.6-(58.6^2-3317.76)^(1/2))/(2*144)

x = ((58.6^2-3317.76)^(1/2)+58.6)/288 or x = (58.6-(58.6^2-3317.76)^(1/2))/288

(x-((58.6-(58.6^2-3317.76)^(1/2))/288))*(x-(((58.6^2-3317.76)^(1/2)+58.6)/288)) = 0

((x-((58.6-(58.6^2-3317.76)^(1/2))/288))*(x-(((58.6^2-3317.76)^(1/2)+58.6)/288)))/((0.2-x)^2) = 0

((x-((58.6-(58.6^2-3317.76)^(1/2))/288))*(x-(((58.6^2-3317.76)^(1/2)+58.6)/288)))/((0.2-x)^2) = 0 // * (0.2-x)^2

(x-((58.6-(58.6^2-3317.76)^(1/2))/288))*(x-(((58.6^2-3317.76)^(1/2)+58.6)/288)) = 0

( x-(((58.6^2-3317.76)^(1/2)+58.6)/288) )

x-(((58.6^2-3317.76)^(1/2)+58.6)/288) = 0 // + ((58.6^2-3317.76)^(1/2)+58.6)/288

x = ((58.6^2-3317.76)^(1/2)+58.6)/288

( x-((58.6-(58.6^2-3317.76)^(1/2))/288) )

x-((58.6-(58.6^2-3317.76)^(1/2))/288) = 0 // + (58.6-(58.6^2-3317.76)^(1/2))/288

x = (58.6-(58.6^2-3317.76)^(1/2))/288

x in { ((58.6^2-3317.76)^(1/2)+58.6)/288, (58.6-(58.6^2-3317.76)^(1/2))/288 }

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