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January 21st, 2010, 12:06 AM   #1
ngm
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Solve the problem in ratio

How do I do this?

1. If a/b = c/d = e/f
Show that:
( 2(a^4)(b^2) + 3(a^2)(e^2) -5(e^4)(f) ) / ( 2(b^6) + 3(b^2)(f^2) -5(f^5) ) = (a^4)/(b^4)
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January 21st, 2010, 01:40 AM   #2
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a/b = e/f implies e = af/b,
so 2(a^4)b + 3ae - 5(e^4)f = 2(a^4)b + 3(a^4)f/b - 5(a^4)(f^5)/b^4
= (a^4/b^4)(2b^6 + 3bf - 5f^5),
etc.
What happens if b = f = 1?
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January 21st, 2010, 03:05 AM   #3
ngm
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Re: Solve the problem in ratio

thanks for the answer, it's quite simple, but never realized it.
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