(2x^2-13x+6)/(6x^2-x-1)

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Solution for (2x^2-13x+6)/(6x^2-x-1) equation:


D( x )

6*x^2-x-1 = 0

6*x^2-x-1 = 0

6*x^2-x-1 = 0

6*x^2-x-1 = 0

DELTA = (-1)^2-(-1*4*6)

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(2*6) or x = (1-25^(1/2))/(2*6)

x = 1/2 or x = -1/3

x in (-oo:-1/3) U (-1/3:1/2) U (1/2:+oo)

(2*x^2-(13*x)+6)/(6*x^2-x-1) = 0

(2*x^2-13*x+6)/(6*x^2-x-1) = 0

2*x^2-13*x+6 = 0

2*x^2-13*x+6 = 0

DELTA = (-13)^2-(2*4*6)

DELTA = 121

DELTA > 0

x = (121^(1/2)+13)/(2*2) or x = (13-121^(1/2))/(2*2)

x = 6 or x = 1/2

(x-1/2)*(x-6) = 0

6*x^2-x-1 = 0

6*x^2-x-1 = 0

DELTA = (-1)^2-(-1*4*6)

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(2*6) or x = (1-25^(1/2))/(2*6)

x = 1/2 or x = -1/3

(x+1/3)*(x-1/2) = 0

((x-1/2)*(x-6))/((x+1/3)*(x-1/2)) = 0

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 1/2}

x = 6

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