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Question Number 124312 by liberty last updated on 02/Dec/20

$$3^x+3^{-x}=3-{(x-3)}^2$$$$x=?$$

Answered by MJS_new last updated on 02/Dec/20

$$3^x+3^{-x}\mathrm{is}\mathrm{a}‘‘{\mathrm{parabola}}^{″}\mathrm{with}\mathrm{minimum}2\mathrm{at}$$$$x=0$$$$3-{(x-3)}^2\mathrm{is}\mathrm{a}\mathrm{parabola}\mathrm{with}\mathrm{maximum}3\mathrm{at}$$$$x=3$$$$\mathrm{these}\mathrm{curves}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{intersect}\mathrm{in}{\mathbb{R}}^2$$

Commented by Dwaipayan Shikari last updated on 02/Dec/20

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