Question

Помогите решить
((x+2)^2*(x^2-11))/(x-7)>0

Answer 1

(x + 2)^2 (x^2 - 11)(x - 7) > 0

(x + 2)^2 (x - √11)(x + √11) (x - 7) > 0

x ∈ ( - √11; -2) ∪ (-2; √11) ∪ (7; + ∞)

Answer 2

$\frac{(x+2)^2(x^2-11)}{x-7}>0\\\\\frac{(x+2)^2(x-\sqrt{11})(x+\sqrt{11})}{x-7} >0\\\\Znaki:\; \; ---(-\sqrt{11})+++(-2)+++(\sqrt{11})---(7)+++\\\\x\in (-\sqrt{11},-2)\cup (-2,\sqrt{11})\cup (7,+\infty )$