Question

Answer 1

`(1-x)^3 = -27`

`(1-x)^3 = (-3)^3`

`=> 1-x=-3

`x=1-(-3)`

`x=4`

____________________________

`|x-1| - 1=  3/2`

`|x-1|= 3/2 +1`

`|x-1| = 3/2+2/2`

`|x-1| = 5/2`

`@TH1:`

`x-1=5/2`

`x=5/2+1`

`x=7/2`

@TH2:`

`x-1 = -5/2`

`x=-5/2 +1`

`x = -3/2`

Answer 2

\(a,\left(1-x\right)^3=-27\\ \left(1-x\right)^3=-3^3\\ 1-x=-3\\ x=1-\left(-3\right)\\ x=4\)

\(b,\left|x-1\right|-1=\dfrac{3}{2}\\ \left|x-1\right|=\dfrac{3}{2}+1\\ \left|x-1\right|=2,5\\ x-1=2,5\\ x=2,5+1\\ x=3,5\\ x-1=-2,5\\ x=-2,5+1\\ x=-1,5\\ \)