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Question Number 75623 by liki last updated on 14/Dec/19

Commented by liki last updated on 14/Dec/19

$$...\mathit{P}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}\mathit{a}\mathit{n}\mathit{y}\mathit{o}\mathit{n}\mathit{e}\mathit{t}\mathit{o}\mathit{h}\mathit{e}\mathit{l}\mathit{p}\mathit{m}\mathit{e}\mathit{t}\mathit{h}\mathit{i}\mathit{s}\mathit{Q}\mathit{n}!$$

Answered by $@ty@m123 last updated on 14/Dec/19

$$Equationwhoserootsare\alpha ,\beta \mathrm{\&}\gamma is$$$$x^3=19x+1$$$$\Rightarrow x^3+0.x^2+(-19)x+(-1)=0....\left(1\right)$$$$\therefore Equationwhoserootsare\frac{1}{\alpha },\frac{1}{\beta }\mathrm{\&}\frac{1}{\gamma }is$$$$(-1)x^3+(-19)x^2+0.x+1=0\left(Writethecoefficientsof\left(1\right)inreverseorder\right)$$$$\Rightarrow x^3+19x^2-1=0$$

Commented by liki last updated on 14/Dec/19

$$..\mathit{t}\mathit{h}\mathit{a}\mathit{n}\mathit{k}\mathit{y}\mathit{o}\mathit{u}\mathit{s}\mathit{o}\mathit{m}\mathit{u}\mathit{c}\mathit{h}\mathit{s}\mathit{i}\mathit{r}.$$

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