X^2-2x-3 > 0
x^2-2x-3 = 0
Решаем квадратное уравнение и находим
x1,2 = [2 +/- (2*2+4*1*3)^1/2] / 2
x1 = -1
x2 = 3
(x + 1) * (x - 3) > 0
при x < - 1; x > 3.
ОДЗ
x ≠ 2;
x ≠ - 2
x (x - 2) + (x + 2)^2 = 8
x^2 - 2x + x^2 + 4x + 4 = 8
2x^2 + 2x + 4 = 8
2x^2 + 2x - 4 = 0 /:2
x^2 + x - 2 = 0
D = 1 + 8 = 9
x1 = ( - 1 + 3)/2 = 1
x2 = ( - 1 - 3)/2 = - 2 не удовлетворяет ОДЗ
Ответ
x = 1
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