Question

Determine x e R, tal que:

a)|x+4|=6-2x

b)1-|x-1|=0

c)|x²-5|=4

d)|x+3/4|=6

Answer 1

a) | X + 4| = 6 - 2X

.....X + 4 = 6 - 2X

X + 2X = 6 - 4

3X = 2

X = 2
......__
.......3


b) 1 - | X - 1| = 0

.....1 - X - 1 = 0

.....- X = -1 + 1

.....X = 0


c) | X^2 - 5 | = 4

.....X^2 - 5 = 4

.....X^2 = 4 + 5

.....X^2 = 9

.....X = + , - \/ 9

.....X = + , - 3


d) |X + 3/4| = 6

.....X + 3....= 6
...........__
............4

4X + 3 = 6x 4

4X + 3 = 24

4X = 24 - 3

4X = 21

X = 21
......___
........4