Question

What two numbers multiply to get 48 and add to get 24

Answer 1

12 + 4√6

Explanation:

xy = 48, x + y = 24

`x + (48)/(x) = 24`

`{x}^(2) + 48 = 24x`

`{x}^(2) - 24x + 48 = 0`

`{x}^(2) - 24x + 144 = 96`

`{(x - 12)}^(2) = 96`

x - 12 = + 4√6

x = 12 + 4√6, y = 12 - 4√6