If the equations x 2 − 5 x + 6 = 0 x^2 - 5x + 6 = 0 x 2 − 5 x + 6 = 0 and 2 y 2 − 9 y + 9 = 0 2y^2 - 9y + 9 = 0 2 y 2 − 9 y + 9 = 0 are given, then co...

Question

If the equations x25x+6=0x^2 - 5x + 6 = 0 and 2y29y+9=02y^2 - 9y + 9 = 0 are given, then compare the following quantities:

Quantity I: Product of the largest roots of both equations

Quantity II: 7293\sqrt[3]{729}

Determine the correct relationship between Quantity I and Quantity II.

Options

A.

Quantity I > Quantity II

B.

Quantity I < Quantity II

C.

Quantity I ≥ Quantity II

D.

Quantity I ≤ Quantity II

E.

Quantity I = Quantity II or no relation

quadratic equationsrootscomparisonalgebra

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