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Answer:
a x^2 - 6 x - 6 = 0
x = (6 +- (36 + 24 a)^1/2) / (2 a) quadratic formula
(36 - 36 + 24 a) / (4 a^2) = 4 since (a - b) * (a + b) = a^2 - b^2
24 a = 16 a^2 so a = 1.5
Check: 1.5 x^2 - 6 x - 6 = 0
(6 +- (36 + 36)^1/2) / 3 = x
(2 +- 2 * 2^1/2 = x = (4.828, -.8285)
4.828 * -.8285 = 4