(x^2-6x-7)/(x^2-49)

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Solution for (x^2-6x-7)/(x^2-49) equation: 


D( x )

x^2-49 = 0

x^2-49 = 0

x^2-49 = 0

1*x^2 = 49 // : 1

x^2 = 49

x^2 = 49 // ^ 1/2

abs(x) = 7

x = 7 or x = -7

x in (-oo:-7) U (-7:7) U (7:+oo)

(x^2-(6*x)-7)/(x^2-49) = 0

(x^2-6*x-7)/(x^2-49) = 0

x^2-6*x-7 = 0

x^2-6*x-7 = 0

DELTA = (-6)^2-(-7*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+6)/(1*2) or x = (6-64^(1/2))/(1*2)

x = 7 or x = -1

(x+1)*(x-7) = 0

((x+1)*(x-7))/(x^2-49) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 7} 

x = -1

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