Question

y= x2+4x+5

Answer 1

You can find x intercept by using quadratic forumla if intercept actually happens.

x intercept occurs at y=0, so

x^2 +4x + 5 =0 ,

By finding discriminant using D = b^2 - 4ac we get:

D = 4^2 - 4*1*5 = 16 - 20 = - 4

Since the discriminant is less than 0, so the given equation does not have x-intercept.

Here is the graph of the equation that shows, it does not have any x-intercept.