Question

Find The Root of x^3-5x+3 =0 solve by interation.​

Answer 1

The easy way is with a calculator that can find roots of polynomials; the hard way is using the cubic formula.

Explanation:

If you have a graphing calculator that can find the roots of an equation, you simply plug it in and find the approximate roots. The graph looks like this:

graph{y=x^3-5x+3 [-10,10, -10, 10]}

A solver will give you three roots, approximately:

x = −2.4908

x = 1.8342

x = 0.6566

So the factorization is approximately:

x³ − 5x + 3 ≅ ( x + 2.4908 ) ( x −1.8342) ( x − 0.6566 )