Answer:
x = -4 ± 3√2
Explanation:
You want the roots of y = 3x² +24x -6.
Roots
We can find the roots by completing the square.
0 = 3(x² +8x -2) . . . . . . factor out common factor
2 = x² +8x . . . . . . . . divide by 3, add 2
18 = x² +8x +16 . . . . add (8/2)² to complete the square
±√18 = x +4 . . . . . . . square root
x = -4 ± 3√2 . . . . . . subtract 4
The roots of the equation are -4 ± 3√2.
<95141404393>