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Question Number 201796 by ajfour last updated on 12/Dec/23

$$x^4-15x^2-30x+104=0$$$$forx\in \mathbb{R}x=2,4$$$$Iwanttoknowthebestwayto$$$$arriveattheseanswers(without$$$$guessing).Ifoundonenewway.$$$$Shallpostlater.$$

Commented by Frix last updated on 12/Dec/23

$$\mathrm{Usually}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{the}\mathrm{shortest}\mathrm{way}\mathrm{to}‘‘{\mathrm{guess}}^{″}$$$$\mathrm{trying}\mathrm{the}\pm \mathrm{factors}\mathrm{of}\mathrm{the}\mathrm{constant}$$$$104=2^{3}13$$$$\mathrm{This}{\mathrm{doesn}}^{\prime }\mathrm{t}\mathrm{work}\mathrm{in}\mathrm{the}\mathrm{following}\mathrm{case}:$$$$x^4-16x^2-36x+91=0$$$${\mathrm{I}}^{\prime }\mathrm{m}\mathrm{looking}\mathrm{forward}\mathrm{to}\mathrm{see}\mathrm{your}\mathrm{solution}.$$

Commented by Calculusboy last updated on 15/Dec/23

$$\mathit{w}\mathit{e}\mathit{c}\mathit{a}\mathit{n}st\mathit{i}\mathit{l}\mathit{l}\mathit{u}\mathit{s}\mathit{e}\mathit{a}\mathit{n}\mathit{o}\mathit{t}\mathit{h}\mathit{e}\mathit{r}\mathit{w}\mathit{a}\mathit{y}$$

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