Question

Solve the equation 6x⁴ – 5x³ – 38x² – 5x + 6 = 0 if it is known that 1/3 is a solution.

Answer 1

6x⁴ – 5x³ – 38x² – 5x + 6 = 0 …… (1) 

x = (1/3) is a Solution 

∴ (3x – 1) is a factor of (1) 

(1) is a Reciprocal equation even degree divide 

(1) by x².