If 3p2=5p+2 and 3q2=5q+2 where p≠q, then the equation whose roots are 3p-2q and 3q-2p is

Given roots are 3p-2q and 3q-2p.Sum of roots =(3p-2q)+(3q-2p)=(p+q)=53Product of roots =(3p-2q)(3q-2p)=9pq-6q2-6p2+4pq=13pq-2(3p2+3q2)=13(-23)-2(5p+2+5q+2)=13(-23)-2[5(53)+4] =-263-2[253+4]=-1003Hence, equation is 3x2-5x-100=0