Question

The product of a number and 8 less than that is 65 what are the numbers?​

Answer 1

Answer:

One pair (-5) & (-13). Other pair 13 & 5.

Step-by-step explanation:

Let number be x.

According to question,

x (x-8) = 65

=> x^2 - 8x - 65 = 0

=> x^2 + 5x - 13x - 65 = 0

=> x (x+5) - 13 (x+5) = 0

=> (x+5) (x-13) = 0

=> x+5 = 0 or x-13=0

=> x = (-5) or x = 13

If the number is (-5) then the other number is -5-8= (-13)

If the number is 13, then the other number is 13-8 = 5.