Question Number 61691 by Tony Lin last updated on 06/Jun/19
$${f}\left({x}\right)=\sqrt{{x}^{\mathrm{4}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}}+\sqrt{{x}^{\mathrm{4}} −\mathrm{3}{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{20}} \\ $$$${find}\:{the}\:{minimum}\:{value}\:{of}\:{f}\left({x}\right) \\ $$