Question

Given (x – 1)2 = 50, select the values of x. x = –49 x = 51 x=1+5squareroot2 x=1-5squareroot2

Answer 1

`\sf x = -1 + 5√(2) \ ; \ x = -1 - 5√(2)`

Explanation:

(x - 1)² = 50

Take square root both sides,

`\sf x + 1 = \± √(50)\\\\x + 1 = \± √(5*5*2)\\\\x + 1 = \± 5√(2)\\\\x = -1 \± 5√(2)`

`\sf x = -1 + 5√(2) \ ; \ x = -1 - 5√(2)`