A graph of g(x) is a parabola with a minimum at (6,6)
A graph of g(x)  c is a parabola with a minimum at (6,6c)
The interesting thing about this is g(x)c has two roots, one less than 6 and the other greater than 6. But if c is less than 6 the roots are imaginary.
So if we work backwards we only need the + of the ħin the quadratic formula.
So here is what I did on my calculator:
0 [enter]
0
(12+√(12²4(30[ans]))/2 [enter]
3.550510257
4.43491542
4.748966595
4.881503954
4.942410266

Posted by Jer
on 20131104 15:43:48 