(3x^4-25x^2-20)/(x-3)

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Solution for (3x^4-25x^2-20)/(x-3) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(3*x^4-(25*x^2)-20)/(x-3) = 0

(3*x^4-25*x^2-20)/(x-3) = 0

(3*x^4-(25*x^2)-20)/(x-3) = 0 // * x-3

3*x^4-(25*x^2)-20 = 0

3*x^4-25*x^2-20 = 0

t_1 = x^2

3*t_1^2-25*t_1^1-20 = 0

3*t_1^2-25*t_1-20 = 0

DELTA = (-25)^2-(-20*3*4)

DELTA = 865

DELTA > 0

t_1 = (865^(1/2)+25)/(2*3) or t_1 = (25-865^(1/2))/(2*3)

t_1 = (865^(1/2)+25)/6 or t_1 = (25-865^(1/2))/6

t_1 = (25-865^(1/2))/6

x^2-((25-865^(1/2))/6) = 0

1*x^2 = (25-865^(1/2))/6 // : 1

x^2 = (25-865^(1/2))/6

t_1 = (865^(1/2)+25)/6

x^2-((865^(1/2)+25)/6) = 0

1*x^2 = (865^(1/2)+25)/6 // : 1

x^2 = (865^(1/2)+25)/6

x^2 = (865^(1/2)+25)/6 // ^ 1/2

abs(x) = ((865^(1/2)+25)^(1/2))/(6^(1/2))

x = ((865^(1/2)+25)^(1/2))/(6^(1/2)) or x = -(((865^(1/2)+25)^(1/2))/(6^(1/2)))

x in { ((865^(1/2)+25)^(1/2))/(6^(1/2)), -(((865^(1/2)+25)^(1/2))/(6^(1/2))) }

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