Answer:
x = 2 + √10
-------------
3
x = 2 - √10
------------
3
Step-by-step explanation:
3x² - 3x - 1 = x + 1
-x - 1 -x - 1
3x² - 4x - 2 = 0
-b +/- √b² - 4ac -(-4) +/- √(-4)² - 4(3)(-2) 4 +/- √16 + 24
------------------ = ---------------- = -----------------
2a 2(3) 6
4+/-√40 4 + √ 4 × 10 4 +2√10 2 + √10
------------ = ------------- = ------------ = ------------
6 6 6 3
4 - √ 4 × 10 4 - 2√ 10 2 - √10
---------------- = ----------------- = ---------------
6 6 3
I hope this helps!
