(6x^2+11x-72)/x

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Solution for (6x^2+11x-72)/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(6*x^2+11*x-72)/x = 0

6*x^2+11*x-72 = 0

6*x^2+11*x-72 = 0

DELTA = 11^2-(-72*4*6)

DELTA = 1849

DELTA > 0

x = (1849^(1/2)-11)/(2*6) or x = (-1849^(1/2)-11)/(2*6)

x = 8/3 or x = -9/2

(x+9/2)*(x-8/3) = 0

((x+9/2)*(x-8/3))/x = 0

( x+9/2 )

x+9/2 = 0 // - 9/2

x = -9/2

( x-8/3 )

x-8/3 = 0 // + 8/3

x = 8/3

x in { -9/2, 8/3 }

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