Question 1051090
-x^2-3x+1=0
change the sign of everything (multiply the entire equation by -1) to make the coefficient of the x^2 positive.  That makes it a LOT easier.
x^2+3x-1=0
This does not factor.
Use the quadratic formula
x=(1/2)(-b+/-sqrt(b^2-4ac)
x=(1/2)(-3+/- sqrt (9+4))
x=(1/2)(-3+/-sqrt (13))
numerically, this is -3.31 and +0.31
{{{graph(300,300,-5,5,-5,5,-x^2-3x+1)}}}