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solve-x-3-2-x-5-




Question Number 134005 by mr W last updated on 26/Feb/21
solve x^3 −2⌊x⌋=5
solvex32x=5
Answered by MJS_new last updated on 26/Feb/21
x=i[nteger part]+f[ractal part]  (i+f)^3 −2i=5  f=−i+((2i+5))^(1/3)   0≤−i+((2i+5))^(1/3) ≤1  ⇒ i=1∨i=2  ⇒ f=−1+(7)^(1/3) ∨f=−2+(9)^(1/3)   ⇒ x=(7)^(1/3) ∨x=(9)^(1/3)
x=i[ntegerpart]+f[ractalpart](i+f)32i=5f=i+2i+530i+2i+531i=1i=2f=1+73f=2+93x=73x=93
Commented by mr W last updated on 26/Feb/21
great! thanks!
great!thanks!
Commented by MJS_new last updated on 26/Feb/21
I′m not sure if ⌊z⌋ and ⌈z⌉ are defined for  z∈C, maybe ⌊a×bi⌋=⌊a⌋+⌊b⌋i? anyway I  haven′t tried to solve it for x∉R
ImnotsureifzandzaredefinedforzC,maybea×bi=a+bi?anywayIhaventtriedtosolveitforxR

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