I need help please

Question

a positive integer is 33 more than 24 times another. their product is 9291. find the two integers.

Answer 1

X = 33+ 24Y

XY = 9291

(33+24Y)(Y) = 9291

24Y^2 + 33Y - 9291 = 0

factor or complete the square, you get 2 answers, ignore the negative solution

Y= -33/48 + or - (1/48)sqr(33^2 + 96(9291))= -33/48 + (1/48)(945) = 912/48 = 19

X = 33+24(19) = 489

489 x 19 = 9291

the two numbers are 19 and 489