Question 2666
2X^2-6X+1=3

2X^2-6X+1-3=0

2X^2-6X-2=0

2[X^2-3X-1]=0

X^2-3X-1=0

Compare to standard form,
a=1
b=-3
c=-1
<br>
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
<br>
{{{x = (-(-3) +- sqrt( (-3)^2-4*1*-1 ))/(2*1) }}}
<br>
{{{x = (3 +- sqrt( 9+4 ))/(2) }}}
<br>
{{{x = (3 +- sqrt(13 ))/(2) }}}
<br>
Root 13=3.6055=3.606
<br>
x=(3+6.606)/2 AND (3-6.606)/2
x=4.803 AND -1.803
<br>
<b>Solution Set={4.803,-1.803}</b>
<P>
Hope this helps,
best of luck.
[NB:in case the answer when cross-checked is wrong,drop me a line at 
xcentaur AT hotmail DOT com.Thanks.]