Question Number 223189 by behi834171 last updated on 16/Jul/25
$$\left(\boldsymbol{{x}}−\mathrm{1}\right)\left(\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{2}\right)\left(\boldsymbol{{x}}^{\mathrm{3}} −\mathrm{3}\right)\left(\boldsymbol{{x}}^{\mathrm{4}} −\mathrm{4}\right)=\mathrm{36} \\ $$$$\boldsymbol{{x}}=? \\ $$
Commented by Ghisom last updated on 17/Jul/25
$$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\ $$
Commented by nikif99 last updated on 17/Jul/25
$${solution}\:{by}\:{calculator}\:{gives} \\ $$$${x}_{\mathrm{1}} =−\mathrm{1}.\mathrm{6239923} \\ $$$${x}_{\mathrm{2}} =\mathrm{1}.\mathrm{8647033} \\ $$$${plus}\:{imaginary}\:{roots}. \\ $$
Commented by nikif99 last updated on 17/Jul/25
Answered by fantastic last updated on 17/Jul/25
$${x}\approx−\mathrm{1}.\mathrm{8647033} \\ $$$${x}\approx−\mathrm{1}.\mathrm{6239923} \\ $$