Answer:
These results, 7 and 9, have a product of 63, as stated.
Step-by-step explanation:
Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.
Solve for x. Perform the indicated multiplication, obtaining
x^2 + 2x - 63 = 0
Solve this by factoring: (x + 9)(x - 7) = 0
Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.
