Envii Group Title 1/2 + x/6 = 18/x one year ago one year ago

1. Lynncake Group Title

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. Envii Group Title

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

3. Lynncake Group Title

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

4. Envii Group Title

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

5. Lynncake Group Title

Ohhhh ok, good luck