Question

2. 9 added to the product of two consecutive multi-
ples of 6 gives 729. What are the numbers?​

Answer 1

Answer:

24&30 or -30&-24

Step-by-step explanation:

let x be one of the multiples

and x+6 be the next multiple. (x+6 cause it's consecutive multiple)

then the equation is

x * (x+6) + 9 = 729

x²+6x -720=0

x=-b+-✓b²-4ac/ 2a

x= -6+-✓36-4*1*-720/2

x=-6+-✓2916

x=-6+-54

x=-30. or x=24

the numbers are 24 and 30 or -30 and -24