Step-by-step explanation:
[tex]x(x + 1) \leqslant 27 \\ {x}^{2} + x \leqslant 27 \\ {x}^{2} + x - 27 \leqslant 27 - 27 \\ {x}^{2} + x - 27 \leqslant 0[/tex]
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