math 171 question 6

Question

a. Sketch the graphs of 𝑦 = 𝑥 2 − 5 and 𝑥 2 + 𝑦 2 = 25 on the same set of axes. b. Setup and solve a system of equations to find the points of intersection between the curves.

Answer 1

y=x^2-5

x^2+y^2=25

y^2=25-x^2

y=squareroot(25-x^2)

x^2-5=squareroot(25-x^2)

x=3 and x=-3