Question 110028
the x intercepts occur when y=0
x^2+5x+2=0
x^2+5x  =-2
x^2+5x+25/4=-2+ 25/4 Complete the square by adding 25/4 to both sides.
(x+ 5/2)^2=17/4
x+5/2=+-1/2sqrt(17)
x=-5/2+-1/2sqrt(17)
x= -.438447, x= -4.56155
Ed
{{{graph(500,500,-15,5,-10,10,x^2+5x+2)}}}