(2/x^3)-(36/x^5)

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Solution for (2/x^3)-(36/x^5) equation: 


D( x )

x^3 = 0

x^5 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x^5 = 0

x^5 = 0

1*x^5 = 0 // : 1

x^5 = 0

x = 0

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

2/(x^3)-(36/(x^5)) = 0

2/(x^3)-36*x^-5 = 0

2*x^-3-36*x^-5 = 0

(2*x^2-36*x^0)/(x^5) = 0 // * x^10

x^5*(2*x^2-36*x^0) = 0

x^5

2*x^2-36 = 0

2*x^2-36 = 0

DELTA = 0^2-(-36*2*4)

DELTA = 288

DELTA > 0

x = (288^(1/2)+0)/(2*2) or x = (0-288^(1/2))/(2*2)

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

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

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

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