Answer:
x = -3 -√7, x = -3 +√7
Explanation:
You want the x-intercepts of f(x) = (x+3)² -7.
Zeros
The value of f(x) will be zero when ...
0 = (x +3)² -7
7 = (x +3)² . . . . . . . add 7
±√7 = x +3 . . . . . . square root
-3 ±√7 = x . . . . . . subtract 3
The graph will intersect the x-axis at x = -3-√7 and x = -3+√7.
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