Question

Show all work solving the following rational equation.

3x/2+3/2x=14/x+x/1

Answer 1

confused. is the last term really \(\frac{x}{1}\) ?

Answer 2

Yes it is.

Answer 3

then the whole thing looks like
\[\frac{3x}{2}+\frac{2x}{3}=\frac{14}{x}+\frac{x}{1}\]?

Answer 4

\[\frac{ 3x }{ 2 }+\frac{ 3 }{ 2 x}=\frac{ 14}{ x }+\frac{ x}{ 1 }\\ (2x)(\frac{ 3x }{ 2 }+\frac{ 3 }{ 2 x}=\frac{ 14}{ x }+\frac{ x}{ 1 })\\ 3x^2+3=28+2x^2\\ 3x^2-2x^2=28-3\\ x^2=25\\x=\pm\sqrt25\\ x=\pm5 \]

Answer 5

It does satellite73.

Answer 6

then louisrivera has it. multiply both sides by \(2x\) and then solve the resulting quadratic equation

Answer 7

Ok thank you both for your help.

Answer 8

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