Question 515472
<pre>
    2x² - 7x = 1

Get it in the form ax² + bx + c = 0 by subtracting 1 from
both sides:

2x² - 7x - 1 = 0

Compare to 

ax² + bx + c = 0

a=2, b=-7, c=-1

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

{{{x = (-(-7) +- sqrt((-7)^2-4*(2)*(-1) ))/(2*(2)) }}}

{{{x = (7 +- sqrt(49+8 ))/4 }}}
 
{{{x = (7 +- sqrt(57 ))/4 }}}

Two solutions:  {{{(7 + sqrt(57 ))/4 }}}, {{{(7 - sqrt(57 ))/4 }}}

Edwin</pre>