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Question Number 147893 by mathdanisur last updated on 24/Jul/21

$$x+1+\frac{1}{x}=4\Rightarrow x+1-\frac{1}{x}=?$$

Commented by aliibrahim1 last updated on 24/Jul/21

$$x+\frac{1}{x}=3\Rrightarrow {(x+\frac{1}{x})}^2=3^2$$$$x^2+\frac{1}{x^2}+2=9$$$$x^2+\frac{1}{x^2}-2=5$$$${(x-\frac{1}{x})}^2=5\Rrightarrow x-\frac{1}{x}=\sqrt{5}$$$$x-\frac{1}{x}+1=\sqrt{5}+1$$

Commented by mathdanisur last updated on 24/Jul/21

$$ThankyouSir$$

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