(k+4)(k-4)-6k+5>(k-3)²+4

Question

(k+4)(k-4)-6k+5>(k-3)²+4

Answer 1

a²-b² = (a-b)(a+b)

(k+4)(k-4)-6k+5>(k-3)²+4

k² - 16 - 6k + 5 > k² - 6k + 9 + 4

k² - 6k - 11 > k² - 6k + 13

-11 > 13

решений нет

Answer 2

k { }^{2} - 6k + 9 + 4 \\ \\ - 16 + 5 > 9 + 4 \\ \\ - 11 > 13 \\ \\" alt="(k {}^{2} - 16 - 6k + 5 > k { }^{2} - 6k + 9 + 4 \\ \\ - 16 + 5 > 9 + 4 \\ \\ - 11 > 13 \\ \\" align="absmiddle" class="latex-formula">