1. Use Newton's method to compute 10th root of 2 accurate to eight decimal places.

I don't know how to use Newton's method... I tried nthroot(2,10)and it gets the right answer, but it's not newton's method.

2. Find all the roots correct to six decimal places of the equation

x^2(4-x^2) =4/(x^2+1)

making some stage of newton_iteration and ezplot.

No idea on how to do this one.