(2x^4-15x^2-7)/(x-3)

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Solution for (2x^4-15x^2-7)/(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)

(2*x^4-(15*x^2)-7)/(x-3) = 0

(2*x^4-15*x^2-7)/(x-3) = 0

(2*x^4-(15*x^2)-7)/(x-3) = 0 // * x-3

2*x^4-(15*x^2)-7 = 0

2*x^4-15*x^2-7 = 0

t_1 = x^2

2*t_1^2-15*t_1^1-7 = 0

2*t_1^2-15*t_1-7 = 0

DELTA = (-15)^2-(-7*2*4)

DELTA = 281

DELTA > 0

t_1 = (281^(1/2)+15)/(2*2) or t_1 = (15-281^(1/2))/(2*2)

t_1 = (281^(1/2)+15)/4 or t_1 = (15-281^(1/2))/4

t_1 = (15-281^(1/2))/4

x^2-((15-281^(1/2))/4) = 0

1*x^2 = (15-281^(1/2))/4 // : 1

x^2 = (15-281^(1/2))/4

t_1 = (281^(1/2)+15)/4

x^2-((281^(1/2)+15)/4) = 0

1*x^2 = (281^(1/2)+15)/4 // : 1

x^2 = (281^(1/2)+15)/4

x^2 = (281^(1/2)+15)/4 // ^ 1/2

abs(x) = ((281^(1/2)+15)^(1/2))/2

x = ((281^(1/2)+15)^(1/2))/2 or x = -(((281^(1/2)+15)^(1/2))/2)

x in { ((281^(1/2)+15)^(1/2))/2, -(((281^(1/2)+15)^(1/2))/2) }

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