Solve for x:
(a)
x^3 -13x^2 + 42 = 0....cannot be factored
you can solve it using Newton- Raphson method
Newton's Method is based upon finding roots of a function f(x). To see how this applies to square or cube roots, suppose that y=√n for some fixed n. Well, then this y would be a root of the equation f(x)=x^2-n. Similarly, f(x)=x^3-n would provide us with a way to calculate the cube root of n.
or, you can solve it using The Cubic Formula
here is that formula:
https://math.vanderbilt.edu/schectex/courses/cubic/
as you can see, it is complicated to do
I suggest leave it for now and try those cubic equations that could be factored
(b) x^3 -6x^2 +sqrt(2) = 0....cannot be factored either
