Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a product of 567 and a difference of six. Jackie’s number is higher than Adrian’s. What are Jackie’s and Adrian’s numbers?
Jackies number is x and Adrians is y.
Set right side to zero
Now you want to use AC method and find the two factors that have a difference of 6 and product of 567 (in this case 27 and -21)
Then you can rewrite the equation as x^2+27x-21x-567=0
Factor this out to get x(x+27)-21(x+27)
x is then 27 or -21 and y is 21 or -27
Edit: Missunderstood question, corrected.