Question

Nine added to the product of two consecutive numbers is 65

Answer 1

Answer:

-8 and -7 or 7 and 8

Step-by-step explanation:

Let the two numbers be x and x + 1

x(x + 1) + 9 = 65

x^2 + x - 56 = 0

x^2 + 8x - 7x - 56 = 0

x(x + 8) - 7(x + 8)

x = -8 or x = 7

Therefore the numbers are either -8 and -7 or 7 and 8.