(-9x^2+81x-224)/(14x^2-126x+196)=0

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Solution for (-9x^2+81x-224)/(14x^2-126x+196)=0 equation:


D( x )

14*x^2-(126*x)+196 = 0

14*x^2-(126*x)+196 = 0

14*x^2-(126*x)+196 = 0

14*x^2-126*x+196 = 0

14*x^2-126*x+196 = 0

DELTA = (-126)^2-(4*14*196)

DELTA = 4900

DELTA > 0

x = (4900^(1/2)+126)/(2*14) or x = (126-4900^(1/2))/(2*14)

x = 7 or x = 2

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

(81*x-9*x^2-224)/(14*x^2-(126*x)+196) = 0

(81*x-9*x^2-224)/(14*x^2-126*x+196) = 0

81*x-9*x^2-224 = 0

81*x-9*x^2-224 = 0

DELTA = 81^2-(-224*(-9)*4)

DELTA = -1503

DELTA < 0

1 = 0

14*x^2-126*x+196 = 0

14*(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

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

1/(14*(x-2)*(x-7)) = 0

x belongs to the empty set

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