Question

Use your graphing calculator to solve the following system of equations. If there is no solution, state no solution if there is more than one solution, state all solutions. Also, sketch the system of equation

y=x^2+3x-6

`√(x+6) -y=4`

Answer 1

(-3.888, -2.547) and (1.131, -1.33)

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).