(x^4-13x^2-36)/(x^2+x-6)

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Solution for (x^4-13x^2-36)/(x^2+x-6) equation: 


D( x )

x^2+x-6 = 0

x^2+x-6 = 0

x^2+x-6 = 0

x^2+x-6 = 0

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

DELTA = 25

DELTA > 0

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

x = 2 or x = -3

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

(x^4-(13*x^2)-36)/(x^2+x-6) = 0

(x^4-13*x^2-36)/(x^2+x-6) = 0

x^2+x-6 = 0

x^2+x-6 = 0

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

DELTA = 25

DELTA > 0

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

x = 2 or x = -3

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

(x^4-13*x^2-36)/((x+3)*(x-2)) = 0

(x^4-(13*x^2)-36)/(x^2+x-6) = 0 // * x^2+x-6

x^4-(13*x^2)-36 = 0

x^4-13*x^2-36 = 0

t_1 = x^2

1*t_1^2-13*t_1^1-36 = 0

t_1^2-13*t_1-36 = 0

DELTA = (-13)^2-(-36*1*4)

DELTA = 313

DELTA > 0

t_1 = (313^(1/2)+13)/(1*2) or t_1 = (13-313^(1/2))/(1*2)

t_1 = (313^(1/2)+13)/2 or t_1 = (13-313^(1/2))/2

t_1 = (13-313^(1/2))/2

x^2-((13-313^(1/2))/2) = 0

1*x^2 = (13-313^(1/2))/2 // : 1

x^2 = (13-313^(1/2))/2

t_1 = (313^(1/2)+13)/2

x^2-((313^(1/2)+13)/2) = 0

1*x^2 = (313^(1/2)+13)/2 // : 1

x^2 = (313^(1/2)+13)/2

x^2 = (313^(1/2)+13)/2 // ^ 1/2

abs(x) = ((313^(1/2)+13)^(1/2))/(2^(1/2))

x = ((313^(1/2)+13)^(1/2))/(2^(1/2)) or x = -(((313^(1/2)+13)^(1/2))/(2^(1/2)))

x in { ((313^(1/2)+13)^(1/2))/(2^(1/2)), -(((313^(1/2)+13)^(1/2))/(2^(1/2))) }

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