## anonymous 3 years ago 1/2 + x/6 = 18/x

1. anonymous

Get the common denominator, and cross multiply...$\frac{ 1 }{ 2 }+\frac{ x }{ 6 }=\frac{ 18 }{ x } \rightarrow \frac{ 3+x }{ 6 }=\frac{ 18 }{ x }$$x(3+x)=6(18) \rightarrow 3x+x^2-108=0 \rightarrow x^2+3x-108=0$$(x+12)(x-9)=0$From here we got two values of x...$x+12=0 \rightarrow x=-12$$x-9=0 \rightarrow x=9$

2. anonymous

The book says no solution. Does that have no solution?

3. anonymous

What's the question? Do they ask for the values of x?

4. anonymous

Oh, I see now. Thank you so much. :)

5. anonymous

Ohhhh ok, good luck