It is known that the equation (K's Square-1) x's Square-6 (3K-1) x + 72 = 0 has two unequal real roots, so we can find the value of K

It is known that the equation (K's Square-1) x's Square-6 (3K-1) x + 72 = 0 has two unequal real roots, so we can find the value of K

1.k²-1≠0
K ≠ 1 and - 1
two
Δ=36(3k-1)²-4×72×(k²-1)>0
(3k-1)²-8(k²-1)>0
9k²-6k+1-8k²+8>0
k²-6k+9>0
(k-3)²>0
As long as K ≠ 3
therefore
The values of K are all the values of K ≠ 1, - 1 and 3