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Question Number 121444 by liberty last updated on 08/Nov/20

$$6^{{\mathrm{x}}^2}+81.4^{\mathrm{x}}⩽4^{\mathrm{x}}.3^{{\mathrm{x}}^2}+81.2^{{\mathrm{x}}^2}$$

Commented by MJS_new last updated on 08/Nov/20

$$\mathrm{transform}\mathrm{and}\mathrm{factorise}$$$$(2^{x^2}-4^x)(3^{x^2}-81)⩽0$$$$$$$$(2^{x^2}-4^x)(3^{x^2}-81)=0$$$$\Rightarrow x=-2\vee x=0\vee x=2\mathrm{where}x=2\mathrm{is}\mathrm{a}\mathrm{double}\mathrm{zero}$$$$\Rightarrow$$$$\mathrm{solution}\mathrm{is}$$$$-2⩽x⩽0\vee x=2$$

Commented by liberty last updated on 08/Nov/20

$$\mathrm{greatt}$$

Commented by harckinwunmy last updated on 08/Nov/20

$$\mathrm{ff}$$

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