Math
posted by Toney on .
Find all real solutions of the equation. (Enter your answers as a commaseparated list. If there is no real solution, enter NO REAL SOLUTION.)
17x3 − x + 3 = x3 + 24x2 + x

17x3 − x + 3 = x3 + 24x2 + x
Transpose to put it in standard polynomial form.
16x³24x²2x+3=0
Try to factor by noting that
16:24 is the same as 2:3
so (2x3) is a factor
Regroup as:
8x²(2x3)(2x3)=0
(8x²1)(2x3)=0
Can you take it from here?