(x^2-55x-7)/(x^2-16)

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Solution for (x^2-55x-7)/(x^2-16) equation: 


D( x )

x^2-16 = 0

x^2-16 = 0

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

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

(x^2-(55*x)-7)/(x^2-16) = 0

(x^2-55*x-7)/(x^2-16) = 0

x^2-55*x-7 = 0

x^2-55*x-7 = 0

DELTA = (-55)^2-(-7*1*4)

DELTA = 3053

DELTA > 0

x = (3053^(1/2)+55)/(1*2) or x = (55-3053^(1/2))/(1*2)

x = (3053^(1/2)+55)/2 or x = (55-3053^(1/2))/2

(x-((55-3053^(1/2))/2))*(x-((3053^(1/2)+55)/2)) = 0

((x-((55-3053^(1/2))/2))*(x-((3053^(1/2)+55)/2)))/(x^2-16) = 0

( x-((3053^(1/2)+55)/2) )

x-((3053^(1/2)+55)/2) = 0 // + (3053^(1/2)+55)/2

x = (3053^(1/2)+55)/2

( x-((55-3053^(1/2))/2) )

x-((55-3053^(1/2))/2) = 0 // + (55-3053^(1/2))/2

x = (55-3053^(1/2))/2

x in { (3053^(1/2)+55)/2, (55-3053^(1/2))/2 }

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