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

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