(x+12)/x^2-144=0

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Solution for (x+12)/x^2-144=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

(x+12)/(x^2)-144 = 0

(x+12)/(x^2)+(-144*x^2)/(x^2) = 0

x-144*x^2+12 = 0

x-144*x^2+12 = 0

x-144*x^2+12 = 0

DELTA = 1^2-(-144*4*12)

DELTA = 6913

DELTA > 0

x = (6913^(1/2)-1)/(-144*2) or x = (-6913^(1/2)-1)/(-144*2)

x = (6913^(1/2)-1)/(-288) or x = (6913^(1/2)+1)/288

(x-((6913^(1/2)-1)/(-288)))*(x-((6913^(1/2)+1)/288)) = 0

((x-((6913^(1/2)-1)/(-288)))*(x-((6913^(1/2)+1)/288)))/(x^2) = 0

((x-((6913^(1/2)-1)/(-288)))*(x-((6913^(1/2)+1)/288)))/(x^2) = 0 // * x^2

(x-((6913^(1/2)-1)/(-288)))*(x-((6913^(1/2)+1)/288)) = 0

( x-((6913^(1/2)+1)/288) )

x-((6913^(1/2)+1)/288) = 0 // + (6913^(1/2)+1)/288

x = (6913^(1/2)+1)/288

( x-((6913^(1/2)-1)/(-288)) )

x-((6913^(1/2)-1)/(-288)) = 0 // + (6913^(1/2)-1)/(-288)

x = (6913^(1/2)-1)/(-288)

x in { (6913^(1/2)+1)/288, (6913^(1/2)-1)/(-288) }

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