(5/4r)-(2/r^2)

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Solution for (5/4r)-(2/r^2) equation:


D( r )

r^2 = 0

r^2 = 0

r^2 = 0

1*r^2 = 0 // : 1

r^2 = 0

r = 0

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

(5/4)*r-(2/(r^2)) = 0

(5/4)*r-2*r^-2 = 0

5/4*r-2*r^-2 = 0

r*(5/4-2*r^-3) = 0

-2*r^-3 = -5/4 // : -2

r^-3 = 5/8

-3 < 0

1/(r^3) = 5/8 // * r^3

1 = 5/8*r^3 // : 5/8

8/5 = r^3

r^3 = 8/5 // ^ 1/3

r = (8/5)^(1/3)

r = 0

r = 0

r in { 0}

r = (8/5)^(1/3)

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