Hi Deciree,

I would first multiply both sides by 13 × 2 to eliminate the fractional coefficients and obtain the equivalent equation

2x³ + 24x - 13 = 0.

Since the equation now has integer coefficients I can use the Rational root theorem. Thus if p and q are integers and p/q is in lowest terms and is a root of the equation then p divides 13 and q divides 2. Thus

p is ±1 or ±13 and q is ±1 or ±2.

Construct the 8 possible roots p/q and test if any of them is a root.

Harley