((225*h/2)/(h^3/2))=1

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Solution for ((225*h/2)/(h^3/2))=1 equation:


D( h )

(h^3)/2 = 0

(h^3)/2 = 0

(h^3)/2 = 0

1/2*h^3 = 0 // : 1/2

h^3 = 0

h = 0

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

((225*h)/2)/((h^3)/2) <= 1 // - 1

((225*h)/2)/((h^3)/2)-1 <= 0

225*h^-2 <= 1

225*h^-2 <= 1 // : 225

h^-2 <= 1/225

1/(h^2) <= 1/225

h <> 0

1/(h^2) <= 1/225 // * h^4

(h^4)/(h^2) <= 1/225*h^4

h^2 <= 1/225*h^4

h^2-1/225*h^4 <= 0

h^2*(1-1/225*h^2) <= 0

h^2*(1-1/225*h^2) <= 0 // : h^2

1-1/225*h^2 <= 0

1 <= 1/225*h^2 // : 1/225

1/1/225 <= h^2

h^2 >= 1/1/225 // ^ 1/2

abs(h) >= 15

h in (-oo:-15> U <15:+oo)

h in (-oo:-15> U <15:+oo)

(-oo:-15> U <15:+oo)

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