(x+3)² - 1 = x² 2+(x-4)(x+4) = (x-1)² (x+2)(x-2) - 2x > x²+8 (x+3)² > x (x+6) 2x- 1 < 1/2 + 1

1 x² + 6x + 9 - 1 = x² x² - x² + 6x = -9 + 1 6x = - 8 x = - 8/6 = - 4/3 = - 1 i 1/3 2 2 + x² - 16 = x² - 2x + 1 x² - x² + 2x = 1 + 16 - 2 2x = 15 x = 7,5 3 x² - 4 - 2x > x² + 8 x² - x² - 2x > 8 + 4 - 2x > 12 x< - 12/2 x < -6 4 x² + 6x + 9 > x² + 6x x² - x² + 6x - 6x > 9 0 > 9 sprzeczne 5 2x - 1< 1/2 + 1 mnożymy wszystko przez 2 4x - 2 < 1 + 2 4x < 3 + 2 x < 5/4 x < 1 i 1/4

(x+3)² - 1 = x² x²+6x+9-1=x² 6x=-8 / :6 x=-1 1/3 2+(x-4)(x+4) = (x-1)² 2+x²-16=x²-2x-1 2x=14 /:2 x=7 (x+2)(x-2) - 2x > x²+8 x²-4-2x>x²+8 -2x>12/:(-2) x<-6 (x+3)² > x (x+6) x²+6x+9>x²+6x 0>9 2x- 1 < 1/2 + 1 2x<1/2+1+1 2x< 1/2+ 1/2 +1/2 2x< 3/2 / :2 x< 3/2 : 2/1 x< 3/2 *1/2 x< 3/4 x< 1 1/4

a) (x+3)² - 1 = x² x²+6x+9-1=x² 6x= -8/:6 x=-1⅓ b) 2+(x-4)(x+4) = (x-1)² 2+x²-16=x²-2x-1 -2x=13/:(-2) x=6½ c) (x+2)(x-2) - 2x > x²+8 x²-4-2x>x²+8 2x>12/:2 x>6 d) (x+3)² > x (x+6) x²+6x+9>x²+6x 0>-9 e) 2x- 1 < ½ + 1 /×2 4x-2<1+1 4x<4/ :4 x<1