Rewrite the equation by completing the square.
x^2 + 14x + 49 = 0
(x+) =

(x + 7)² = 0

Step-by-step explanation:

Given

x² + 14x + 49 = 0 ( subtract 49 from both sides )

x² + 14x = - 49

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(7)x + 49 = - 49 + 49

(x + 7)² = 0

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)