Question

Given (x-1)^2=50, select the values of x. -49, 51, 1+5 times sqrt(2), 1-5 times sqrt(2)

please help meee asap

Answer 1

x = 1 ± 5
`√(2)`

Explanation:

given

(x - 1)² = 50 ( take square root of both sides )

`√((x-1)^2)` = ±
`√(50)` , that is

x - 1 = ±
`√(50)` = ±
`√(25(2))` = ± (
`√(25)` ×
`√(2)` ) = ± 5
`√(2)`

now add 1 to both sides

x = 1 ± 5
`√(2)`

solutions are x = 1 + 5
`√(2)` , x = 1 - 5
`√(2)`