решите уравнения. (x-1) (x+1) (x^2+1) = 6x^2-1 (2-5x) (5x+2) (4-25x^2) = (3+20x^2) ^2

1). (x - 1) (x + 1) (x² + 1) = 6 x² - 1;

(x² - 1) (x² + 1) = 6 x² - 1;

x^4 - 1 = 6 x² - 1;

x^4 - 6 x² = 0;

x² (x² - 6) = 0;

x = 0;

x² - 6 = 0;

x' = √6; x'' = - √6;

2). (2 - 5 x) (5 x + 2) (4 - 25 x²) = (3 + 20 x²) ²;

(4 - 25 x²) (4 - 25 x²) = (3 + 20 x²) ²;

(4 - 25 x²) ² - (3 + 20 x²) ² = 0;

(4 - 25 x² - 3 - 20 x²) (4 - 25 x² + 3 + 20 x²) = 0;

(1 - 45 x²) (7 - 5 x²) = 0;

1 - 45 x² = 0; 45 x² = 1; x² = 1/45;

x = 1 / (3 √5); x = 1/15 √5; x' = - 1/15 √5;

7 - 5 x² = 0; 5 x² = 7; x² = 7/5;

x'' = √ (7/5); x'' = 1/5 √35; x''' = - 1/5 √35.