An object of mass m=80 kg moves in one dimension subject to the potential energy

Question

U(x)=λ4(x2−a2)2+b2x2.(1)

Here we use λ= 1 kg/(m2s2), a= 7 m, and b= -11 kg/s2.

(a) How many equilibrium points (stable and unstable ones) does this potential have?

n=

0.1.2.3.4.
(b) Find a stable equilibrium point x0 such that x0 is positive. (in meters)

x0=