(x^2-15x+56)/(x^2-9)=0

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Solution for (x^2-15x+56)/(x^2-9)=0 equation: 


D( x )

x^2-9 = 0

x^2-9 = 0

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in (-oo:-3) U (-3:3) U (3:+oo)

(x^2-(15*x)+56)/(x^2-9) = 0

(x^2-15*x+56)/(x^2-9) = 0

x^2-15*x+56 = 0

x^2-15*x+56 = 0

DELTA = (-15)^2-(1*4*56)

DELTA = 1

DELTA > 0

x = (1^(1/2)+15)/(1*2) or x = (15-1^(1/2))/(1*2)

x = 8 or x = 7

(x-7)*(x-8) = 0

((x-7)*(x-8))/(x^2-9) = 0

( x-7 )

x-7 = 0 // + 7

x = 7

( x-8 )

x-8 = 0 // + 8

x = 8

x in { 7, 8 }

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