# Math Help - Tough Cubic equation

1. ## Tough Cubic equation

16x^3 -13x +3 =0
Find the real solutions for the equation.
Answer : -1, 1/4, 3/4

2. Originally Posted by ozacho
16x^3 -13x +3 =0
Find the real solutions for the equation.
Answer : -1, 1/4, 3/4
Hi ozacho,

Using the Rational Roots Theorem, you can test +/- 1 and +/- 3 as potential roots.

Using synthetic division with -1, your depressed quadratic would be:

$16x^2-16x+3=0$

You should be able to take it from here.