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

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Solution for (4-x^2)/(x^2+2x-8) equation: 


D( x )

x^2+2*x-8 = 0

x^2+2*x-8 = 0

x^2+2*x-8 = 0

x^2+2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(1*2) or x = (-36^(1/2)-2)/(1*2)

x = 2 or x = -4

x in (-oo:-4) U (-4:2) U (2:+oo)

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

x^2+2*x-8 = 0

x^2+2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(1*2) or x = (-36^(1/2)-2)/(1*2)

x = 2 or x = -4

(x+4)*(x-2) = 0

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

-1*x^2 = -4 // : -1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in { 2} 

x = -2

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