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[Solved] Simplifying Fractions

 
Fractions
Last Post by Staff 4 years ago
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June 14, 2021 11:06 am
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(@armor)
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June 14, 2021 11:06 am
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

\frac{3x^2+6x+5}{\tfrac{1}{2}x^2+x+1}=\tfrac{6x^2+12x+10}{x^2+2x+2}

=\tfrac{6(x^2+2x+2)-2}{x^2+2x+2}= 6 - \tfrac{2}{(x+1)^2+1} 

which has the minimum value 4 when x = -1.  

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