Question 458841

solve for {{{x}}}: 

{{{1/x=(x+1)/6}}}......cross multiply

{{{1*6=(x+1)*x}}}

{{{6=x^2+x}}}

{{{x^2+x-6=0}}}

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

{{{x = (-1 +- sqrt( 1^2-4*1*(-6) ))/(2*1) }}}

{{{x = (-1 +- sqrt( 1+24 ))/2 }}}

{{{x = (-1 +- sqrt( 25 ))/2 }}}

{{{x = (-1 +- 5 )/2 }}}

solutions:

{{{x = (-1 +5 )/2 }}}

{{{x = 4/2 }}}

{{{x = 2 }}}

or

{{{x = (-1 -5 )/2 }}}

{{{x = -6/2 }}}

{{{x = -3 }}}


check: {{{x = 2 }}}


{{{1/x=(x+1)/6}}}

{{{1/2=(2+1)/6}}}

{{{1/2=3/6}}}

{{{1/2=cross(3)1/cross(6)2}}}

{{{1/2=1/2}}}



{{{x = -3 }}}

{{{1/(-3)=(-3+1)/6}}}

{{{-1/3=-2/6}}}

{{{-1/3=-cross(2)1/cross(6)3}}}

{{{-1/3=-1/3}}}