-
If 
x + 1 
= 3 then x8 + 1 is equal to x x8
-
- 2201
- 2203
- 2207
- 2213
Correct Option: C
| x = | = 3 | |
| x |
On squaring both sides,
| x + | | ² | = 9 | |
| x |
| ⇒ x² + | + 2 = 9 | |
| x² |
| ⇒ x² + | = 9 - 2 = 7 | |
| x² |
On squaring again,
| x² + | | = 49 | |
| x² |
| ⇒ x4 + | + 2 = 49 | |
| a4 |
| ⇒ x4 + | = 49 - 2 = 47 | |
| a4 |
On squaring again,
| (x4)² + | | | ² | + 2 = 47² = 2209 | |
| x4 |
| ⇒ x8 + | = 2209 - 2 = 2207 | |
| x8 |
