This is one line in an optimization problem… x2[3600+(200-x)2 ] = (200-x)2(8100+x2) According to the book it should equal… 3600x2 = 8100(200-x)2 I can’t see how!
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Originally Posted by NFZ17 This is one line in an optimization problem… x2[3600+(200-x)2 ] = (200-x)2(8100+x2) According to the book it should equal… 3600x2 = 8100(200-x)2 I can’t see how! Is it $\displaystyle x^2[3600+(200-x)^2]=(200-x)^2(8100+x^2)$ ??
Yeah that's it, sorry I copied and pasted from a word doc!!
Originally Posted by NFZ17 This is one line in an optimization problem… x2[3600+(200-x)2 ] = (200-x)2(8100+x2) According to the book it should equal… 3600x2 = 8100(200-x)2 I can’t see how! $\displaystyle x^2[3600+(200-x)^2]=(200-x)^2(8100+x^2)$ Multiplying these out, we get... $\displaystyle 3600x^2+x^2(200-x)^2=8100(200-x)^2+x^2(200-x)^2$ therefore, since $\displaystyle x^2(200-x)^2$ is common to both sides.. $\displaystyle 3600x^2=8100(200-x)^2$
Thanks a million! totally missed that!
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