(X^3-6x^2)/(3x^2-14x-24)=0

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Solution for (X^3-6x^2)/(3x^2-14x-24)=0 equation:


D( x )

3*x^2-(14*x)-24 = 0

3*x^2-(14*x)-24 = 0

3*x^2-(14*x)-24 = 0

3*x^2-14*x-24 = 0

3*x^2-14*x-24 = 0

DELTA = (-14)^2-(-24*3*4)

DELTA = 484

DELTA > 0

x = (484^(1/2)+14)/(2*3) or x = (14-484^(1/2))/(2*3)

x = 6 or x = -4/3

x in (-oo:-4/3) U (-4/3:6) U (6:+oo)

(X^3-(6*x^2))/(3*x^2-(14*x)-24) = 0

(X^3-6*x^2)/(3*x^2-14*x-24) = 0

3*x^2-14*x-24 = 0

3*x^2-14*x-24 = 0

DELTA = (-14)^2-(-24*3*4)

DELTA = 484

DELTA > 0

x = (484^(1/2)+14)/(2*3) or x = (14-484^(1/2))/(2*3)

x = 6 or x = -4/3

(x+4/3)*(x-6) = 0

(X^3-6*x^2)/((x+4/3)*(x-6)) = 0

-6*x^2 = -X^3 // : -6

x^2 = (X^3)/6

x^2 = (X^3)/6 // ^ 1/2

abs(x) = (X^(3/2))/(6^(1/2))

x = (X^(3/2))/(6^(1/2)) or x = -((X^(3/2))/(6^(1/2)))

x in { (X^(3/2))/(6^(1/2)), -((X^(3/2))/(6^(1/2))) }

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