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1-2x-x-2-1-x-4-x-3-2x-2-5x-1-2-x-3-2x-2-x-1-x-1-x-2-1-x-2-1-2x-x-3-2-Any-good-non-zero-real-solution-to-this-equation-in-the-exact-form-with-the-help-of-a-calculator-pe




Question Number 140430 by ajfour last updated on 07/May/21
(1+2x)(x^2 +1)(x^4 +x^3 −2x^2 +5x+1)^2   ={(x^3 −2x^2 +x+1)(x+1)(x^2 +1)         −x^2 (1+2x)(x+3)}^2   Any good non-zero real solution  to this equation in the exact form  with the help of a calculator,  perhaps...(please help)
$$\left(\mathrm{1}+\mathrm{2}{x}\right)\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{4}} +{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$=\left\{\left({x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} +{x}+\mathrm{1}\right)\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{1}\right)\right. \\ $$$$\left.\:\:\:\:\:\:\:−{x}^{\mathrm{2}} \left(\mathrm{1}+\mathrm{2}{x}\right)\left({x}+\mathrm{3}\right)\right\}^{\mathrm{2}} \\ $$$${Any}\:{good}\:{non}-{zero}\:{real}\:{solution} \\ $$$${to}\:{this}\:{equation}\:{in}\:{the}\:{exact}\:{form} \\ $$$${with}\:{the}\:{help}\:{of}\:{a}\:{calculator}, \\ $$$${perhaps}…\left({please}\:{help}\right) \\ $$

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