(64-x^2)/(x^2+8x)

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Solution for (64-x^2)/(x^2+8x) equation: 


D( x )

x^2+8*x = 0

x^2+8*x = 0

x^2+8*x = 0

x^2+8*x = 0

DELTA = 8^2-(0*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-8)/(1*2) or x = (-64^(1/2)-8)/(1*2)

x = 0 or x = -8

x in (-oo:-8) U (-8:0) U (0:+oo)

(64-x^2)/(x^2+8*x) = 0

x^2+8*x = 0

x*(x+8) = 0

x+8 = 0 // - 8

x = -8

x*(x+8) = 0

(64-x^2)/(x*(x+8)) = 0

-1*x^2 = -64 // : -1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { -8} 

x = 8

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