(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)


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Question Number 140430 by ajfour last updated on 07/May/21
$(1+2x)(x^2 +1)(x^4 +x^3 −2x^2 +5x+1)^2 ={(x^3 −2x^2 +x+1)(x+1)(x^2 +1) −x^2 (1+2x)(x+3)}^2 Any good non-zero real solution to this equation in the exact form with the help of a calculator, perhaps...(please help)$
$(1 + 2 x) (x^{2} + 1) {(x^{4} + x^{3} - 2 x^{2} + 5 x + 1)}^{2}$ $= {(x^{3} - 2 x^{2} + x + 1) (x + 1) (x^{2} + 1)$ ${- x^{2} (1 + 2 x) (x + 3)}}^{2}$ $A n y g o o d n o n - z e r o r e a l s o l u t i o n$ $t o t h i s e q u a t i o n i n t h e e x a c t f o r m$ $w i t h t h e h e l p o f a c a l c u l a t o r,$ $p e r h a p s . . . (p l e a s e h e l p)$
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