Question 707478
{{{ 6x + 1 = x^2 }}}
{{{ x^2 - 6x = 1 }}}
{{{ x^2 - 6x + (-6/2)^2 = 1 + (-6/2)^2 }}}
{{{ x^2 - 6x + 9 = 1 + 9 }}}
{{{ ( x - 3 )^2 = 10 }}}
Take the square root of both sides
{{{ x - 3 = sqrt(10) }}}
{{{ x = 3 + sqrt(10) }}}
and
{{{ x = 3 - sqrt(10) }}}
here's the plot:
{{{ graph( 400, 400, -2, 8, -12, 5, x^2 - 6x - 1  ) }}}