Question

(x-5)(x+5)-2x(5-x) >3(x+1)²​

Answer 1

Ответ:

$(-\infty;-1\frac{3}{4})$

Объяснение:

$(x-5)(x+5)-2x(5-x) > 3(x+1)^2\\\\x^2-25-10x+2x^2 > 3(x^2+2x+1)\\\\x^2-25-10x+2x^2 > 3x^2+6x+3\\\\x^2-10x+2x^2-3x^2-6x > 3+25\\\\-16x > 28\ \ \ |:(-16)\\\\x < -\frac{7}{4}\\\\x < -1\frac{3}{4}\\\\x\in(-\infty;-1\frac{3}{4})$