Question

a)√0,25 + (1/√16 + 1/2 - 1) + (0,5)^5 . (-2)^5

b)1 - x : 2/5 = 1/2

c)| 2x - 1| - 2/3 = 1/4

d)2 (x -1/4)^2 - 1 = -1/9

e)(√x - 2/5) + 1 = 3/2

Answer 1

`a, \sqrt(0,25) + (1/(\sqrt(16))+ 1/2 - 1) + (0,5)^5 . (-2)^5`

`= 1/2 + (1/4 + 1/2 - 1) + [(0,5) . (-2)]^5`

`= 1/2 + 1/4 + 1/2 - 1 + (-1)^5`

`= (1/2 + 1/2 - 1) + 1/4 - 1`

`= 0 + 1/4 - 4/4`

`= -3/4`

`b 1 - x : 2/5 = 1/2`

`x : 2/5 = 1 - 1/2`

`x : 2/5 = 1/2`

`x = 1/2 . 2/5`

`x = 1/5`

Answer 2

`c, |2x - 1| - 2/3 = 1/4`

`|2x - 1| = 1/4  + 2/3`

`|2x - 1| = 11/12`

`2x - 1 = +-11/12`

`[(2x - 1 = 11/12),(2x - 1 = -11/12):}`

`[(2x = 11/12 + 1),(2x = -11/12 + 1):}`

`[(2x = 23/12),(2x = 1/12):}`

`[(x = 23/24),(x = 1/24):}`

`d, 2(x- 1/4)^2 - 1 = -1/9`

`2(x - 1/4)^2 = -1/9 + 1`

`2(x - 1/4)^2 = 8/9`

`(x - 1/4)^2 = 8/9 : 2`

`(x - 1/4)^2 = 4/9`

`(x - 1/4)^2 = (+-2/3)^2`

`[(x - 1/4 = 2/3),(x- 1/4 = -2/3):}`

`[(x = 2/3 + 1/4),(x = -2/3 + 1/4):}`

`[(x = 11/12),(x=-5/12):}`