Question

The product of two consecutive integers is less than or equal to 27.

Answer 1

Step-by-step explanation:

$x(x + 1) \leqslant 27 \\ {x}^{2} + x \leqslant 27 \\ {x}^{2} + x - 27 \leqslant 27 - 27 \\ {x}^{2} + x - 27 \leqslant 0$

so we got the equation

we solve it and we get:

(we floor the answers)

x = -5.72 -> -5

x = -4.72 -> 4

so:

maximum answer: 4 and 5

minimum answer: -5 and -4