6r^2 + 7r + 8 = 6 + 3r + 9r^2 rearrange as
3r^2 - 4r - 2 = 0
Using the Quadratic Formula.....the largest value of r =
4 + sqrt ( 4^2 - 4 (3)(-2) ] 4 + sqrt [ 40 ] 4 + 2sqrt [10]
_______________________ = _____________ = _____________ =
2 * 3 6 6
2 + sqrt [10]
_____________
3
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