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A triangle has one vertex at (0,0) and t...

A triangle has one vertex at `(0,0)` and the other two on the graph of `y=-2x^(2)+54` at `(x,y)` and `(-x,y)` where `0 < x < sqrt(27)` . The value of x so that the corresponding triangle has maximum area is

A

92

B

122

C

108

D

88

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