Answer:
(-3.888, -2.547) and (1.131, -1.33)
Step-by-step explanation:
Graph: desmos.com/calculator/qknljhtr5n
y = x² + 3x − 6 is an upwards parabola with a vertex of (-1.5, -8.25) and x-intercepts (-4.372, 0) and (1.372, 0).
√(x + 6) − y = 4 is a square root function opening to the right, with a vertex of (-6, -4) and an x-intercept of (10, 0).
The two curves intersect at (-3.888, -2.547) and (1.131, -1.33).
