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[Solved] Ratios and fractions

 
Fractions
Last Post by Staff 4 years ago
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June 14, 2021 10:45 am
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Staff 
(@armor)
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\frac{a}{3}=\frac{b}{4}=\frac{c}{5},

a^2+b^2-16=c^2+2c\Rightarrow c=?

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June 14, 2021 10:46 am
Topic starter
Staff 
(@armor)
Admin
  Honorable Member
317 Posts
156 153 0

\small \frac{a}{3}=\frac{b}{4}=\frac{c}{5}=k

\small a=3k,b=4k,c=5k

\small a^2+b^2-16=c^2+2c\Rightarrow 9k^2+16k^2-16=25k^2+10k

\small \Rightarrow 10k=-16\Rightarrow k=-\frac{8}{5}

\small c=5k=5.(-\frac{8}{5})=-8.

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