Question

Find thetwo consecutive integers whose product is 24​

Answer 1

There is no solution to this equation that is an integer for x.

Explanation:

x is the first integer, and x+1 the second

`x(x+1) = 24\\x^(2) + x - 24 =0\\`

`x = \frac{-1+\sqrt{1^(2)+4*24}}{2} =(-1+√(97))/(2)\\x = \frac{-1-\sqrt{1^(2)+4*24}}{2} =(-1-√(97))/(2)`