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Question Number 159121 by physicstutes last updated on 13/Nov/21

$$\mathrm{Consider}$$$$f\left(x\right)=x^3+2x-1.$$$$\mathrm{Use}\mathrm{the}\mathrm{intermidiate}\mathrm{value}\mathrm{theorem}\mathrm{and}$$$$\mathrm{the}\mathrm{Rolle}\mathrm{theorem}\mathrm{to}\mathrm{establish}\mathrm{that}\mathrm{the}$$$$\mathrm{equation}f\left(x\right)=0\mathrm{has}\mathrm{a}\mathrm{unique}\mathrm{solution}$$$$\mathrm{denoted}{a}_0\in ]0,1[.$$

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