Question

96 : ( 3,75 : x ) = 94,5

1/2 + 1/14 + 1/35 + 1/x * ( 3 + x ) = 6/13

Answer 1

96 : ( 3,75 : x ) = 94,5

3,75 : x = 96 : 94,5

3,75 : x = \(\frac{96}{94,5}\) 

x = 3,75 : \(\frac{96}{94,5}\)

x = \(\frac{354,375}{96}\)

Answer 2

\(\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{1}{x}\left(3+x\right)=\frac{6}{13}\)

\(\Rightarrow\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{3+x}{x}=\frac{6}{13}\)

\(\Rightarrow\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+1+\frac{3}{x}=\frac{6}{13}\)

\(\Rightarrow\frac{3}{x}+\frac{8}{5}=\frac{6}{13}\)

\(\Rightarrow\frac{3}{x}=-\frac{74}{65}\)

\(\Rightarrow-74x=195\)

\(\Rightarrow x=\frac{-195}{74}\)

Answer 3

\(\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{1}{x\left(3+x\right)}=\frac{6}{13}\)

\(\frac{3}{5}+\frac{1}{x\left(3+x\right)}=\frac{6}{13}\)

\(\frac{1}{x\left(3+x\right)}=-\frac{9}{65}\)

\(\Rightarrow-9x\left(3+x\right)=65\)

\(\Rightarrow-9x^2-27x-65=0\)

\(\Rightarrow9x^2-27x+65=0\)

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