f(x) = -5 + x
g(x) = x^2 - 6
both are equal to y, so
-5 + x = x^2 - 6
1 + x = x^2
1 = x^2 - x
x = 1.618 and x = -0.618
first
f(x) = -5 + x
f(x) = -5 + 1.618
y = -3.382
second
f(x) = -5 + x
f(x) = -5 + -0.618
y = -5.618
so the two points are
(1.618,-3.382) and (-0.618, -5.618)
you can graph to check