solve this using python Consider the function f(x) = (-x² + x) cos(x) − 2.5 for x € [−6, 6].Write a code that can autormatically detect all roots within the given domain. You must use the function scipy.optimize.fsolve(). Indicate alldetected roots on a plot along with the function y = f(x). Your code should be fully automatic without manual adjustment as much aspossible. The output should be similar to the sample shown below.roots [-4.616 -2.2.404 4.558]f(roots) [-0.00513193 -0.00311898 -0.00203753 -0.00615253]C:\Users\User\anaconda3\lib\site-packages\scipy\optimize \mit making good progress, as measured by theimprovement from the last ten iterations.warnings. warn (msg, RuntimeWarning)100--10-20-30-40-4-7NO

Task : Given the equation. The task is to find the roots of the equation and plot it.

Consider the function ƒ(z) = (−1²+z) cos(z) — 2.5 for z ¤ [−6, 6]. Write a code that can automatically detect all roots within the given domain. You must use the function scipy.optimize.fsolve(). In detected roots on a plot along with the function y = f(z). Your code should be fully automatic without manual adjustment as m possible. The output should be similar to the sample shown below. roots [4.616 -2. 2.404 4.558] f(roots) [-0.00513193 -0.00311898 -0.00203753 -0.00615253] C:\Users\User\anaconda3\lib\site-packages\scipy\optimize\mi t making good progress, as measured by the improvement from the last ten iterations. warnings. warn (msg, RuntimeWarning) 10 -2 0- -10 -20 -30 -40 -6