find value of x if 7x-3 *52x-8 = 1225
7x-3 * 52x-8 = 1225
after prime factorization of RHS ..
7x-3 * 52x-8 = 5*5 * 7*7
7x-3 * 52x-8 = 52 * 72
that implies :-
7x-3= 72
that implies ;-
x-3=2
that implies
x = 3 + 2 = 5
and we can also find it from 52 as we did it with 72 . the answer will be the same .
after prime factorization of RHS ..
7x-3 * 52x-8 = 5*5 * 7*7
7x-3 * 52x-8 = 52 * 72
that implies :-
7x-3= 72
that implies ;-
x-3=2
that implies
x = 3 + 2 = 5
and we can also find it from 52 as we did it with 72 . the answer will be the same .