Question 72946
What are the solution(s) for the proportion:
{{{x/(5x+6)=1/x}}}
:
This also gives me four answers to choose from they are...
{{{highlight(a)}}} 6, -1
(b) -6,-1
(c) 1, -1
(d) -6, 6
{{{x(5x+6)*x/(5x+6)=x(5x+6)*(1/x)}}}
{{{x*cross((5x+6))*x/cross((5x+6))=cross(x)*(5x+6)/cross(x)}}}
{{{x^2=5x+6}}}
{{{x^2-5x-6=5x-5x+6-6}}}
{{{x^2-5x-6=0}}}
{{{(x-6)(x+1)=0}}}
x-6=0 or x+1=0
x-6+6=0+6 or x+1-1=0-1
x=6 or x=-1  (a)