Question

nd the zeros of the function f(x) = 2x3 – 9x + 3

Answer 1

finding the zeros means solving the equation
\[ \large f(x)=0 \]

Answer 2

So:
\[2x^3-9x+3=0\]
Do you know how to continue?

Answer 3

a little more please

Answer 4

I suggest the Newton Method to find the roots.

Answer 5

\[x_{n+1}=x_n - \frac{f(x)}{f'(x)} \]

Answer 6

then use iteration until you find a result you are happy with.

Answer 7

@rdiddy212 do u know derivatives to do what @Spacelimbus suggested?

Answer 8

Refer to attached plot.

The roots, calculated by the Mathematica function, NSolve, are the following to 15+ digits:\[\{-2.2716332985527448,0.34224143691160663,1.9293918616411379\} \]