(8x^2-55x-7)/(x^2-16)

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Solution for (8x^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)

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

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

8*x^2-55*x-7 = 0

8*x^2-55*x-7 = 0

DELTA = (-55)^2-(-7*4*8)

DELTA = 3249

DELTA > 0

x = (3249^(1/2)+55)/(2*8) or x = (55-3249^(1/2))/(2*8)

x = 7 or x = -1/8

(x+1/8)*(x-7) = 0

((x+1/8)*(x-7))/(x^2-16) = 0

( x+1/8 )

x+1/8 = 0 // - 1/8

x = -1/8

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -1/8, 7 }

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