1/(x^2-9x+14)

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Solution for 1/(x^2-9x+14) equation: 


D( x )

x^2-(9*x)+14 = 0

x^2-(9*x)+14 = 0

x^2-(9*x)+14 = 0

x^2-9*x+14 = 0

x^2-9*x+14 = 0

DELTA = (-9)^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)+9)/(1*2) or x = (9-25^(1/2))/(1*2)

x = 7 or x = 2

x in (-oo:2) U (2:7) U (7:+oo)

1/(x^2-(9*x)+14) = 0

1/(x^2-9*x+14) = 0

x^2-9*x+14 = 0

x^2-9*x+14 = 0

DELTA = (-9)^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)+9)/(1*2) or x = (9-25^(1/2))/(1*2)

x = 7 or x = 2

(x-2)*(x-7) = 0

1/((x-2)*(x-7)) = 0

x belongs to the empty set

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