(x^2)/(x^2-12x-32)

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Solution for (x^2)/(x^2-12x-32) equation: 


D( x )

x^2-(12*x)-32 = 0

x^2-(12*x)-32 = 0

x^2-(12*x)-32 = 0

x^2-12*x-32 = 0

x^2-12*x-32 = 0

DELTA = (-12)^2-(-32*1*4)

DELTA = 272

DELTA > 0

x = (272^(1/2)+12)/(1*2) or x = (12-272^(1/2))/(1*2)

x = (4*17^(1/2)+12)/2 or x = (12-4*17^(1/2))/2

x in (-oo:(12-4*17^(1/2))/2) U ((12-4*17^(1/2))/2:(4*17^(1/2)+12)/2) U ((4*17^(1/2)+12)/2:+oo)

(x^2)/(x^2-(12*x)-32) = 0

(x^2)/(x^2-12*x-32) = 0

x^2-12*x-32 = 0

x^2-12*x-32 = 0

DELTA = (-12)^2-(-32*1*4)

DELTA = 272

DELTA > 0

x = (272^(1/2)+12)/(1*2) or x = (12-272^(1/2))/(1*2)

x = (4*17^(1/2)+12)/2 or x = (12-4*17^(1/2))/2

(x-((12-4*17^(1/2))/2))*(x-((4*17^(1/2)+12)/2)) = 0

(x^2)/((x-((12-4*17^(1/2))/2))*(x-((4*17^(1/2)+12)/2))) = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x = 0

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