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2014-09-27T20:46:19+05:30

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See diagram.

y = 1+x+x^3+x^5+x^7+x^9 \\ \\ y = -4\ \ at\ \ \ x = -1 \\ \\ y = 1\ at\ x=0 \\

So  y = 0 when x is in between -1 and 0.  for x >0 , y >0 and increasing. For x < -1 , y is decreasing more and more. So there is only one real root  -1 < α < 0.

Slope of y : 1+3x^2+5x^4+7x^6+9x^8.  it is always positive. So y is always increasing as x increases. So y = 0 is possible only once.

You can find that approximately as: - 0.63




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u can find x = -0.63 at y =0, using iteration and simplifying given expression. if u want details, i can tell you how.
2014-10-02T01:00:53+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
X^9+ x^7+ x^5+ x^3+ x+ 1=0From the plot of the curve, it is clear that it has only one real solution and 8 imaginary solutions.
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