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Question Number 89834 by Cheyboy last updated on 19/Apr/20

$$Findx$$$${\mathit{e}}^{\mathit{x}}={\mathit{x}}^2-1$$$$\mathit{a}\mathit{n}\mathit{y}\mathit{o}\mathit{t}\mathit{h}\mathit{e}\mathit{r}\mathit{m}\mathit{e}\mathit{t}\mathit{h}\mathit{o}\mathit{d}\mathit{a}\mathit{p}\mathit{a}\mathit{r}\mathit{t}\mathit{f}\mathit{r}\mathit{o}\mathit{m}\mathit{N}{ewton}^{\prime }s$$

Commented by Joel578 last updated on 19/Apr/20

$$bisectionmethod,secantmethod$$

Answered by TANMAY PANACEA. last updated on 19/Apr/20

$$f\left(x\right)=e^x-x^2+1$$$$f\left(0\right)=2>0$$$$f\left(1\right)=e>0$$$$f\left(2\right)=e^2-3>0$$$$sonorootwhenx>0$$$$f(-1)=\frac{1}{e}>0$$$$f(-2)=\frac{1}{e^2}-3<0$$$$\mathit{s}\mathit{o}\mathit{o}\mathit{n}\mathit{e}\mathit{r}\mathit{o}\mathit{o}\mathit{t}\mathit{l}\mathit{i}\mathit{e}\mathit{s}\mathit{b}\mathit{e}\mathit{t}\mathit{w}\mathit{e}\mathit{e}\mathit{n}-1>\mathit{x}>-2$$

Commented by Cheyboy last updated on 19/Apr/20

$$Alrightthanksir$$

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