Given the two quadratic equations: (I) 12 x 2 + 46 x + 42 = 0 12x^2 + 46x + 42 = 0 12 x 2 + 46 x + 42 = 0 (II) 3 y 2 − 16 y + 21 = 0 3y^2 - 16y + 21 =...

Question

Given the two quadratic equations:

(I) 12x2+46x+42=012x^2 + 46x + 42 = 0

(II) 3y216y+21=03y^2 - 16y + 21 = 0

If xx and yy are the roots of equations (I) and (II) respectively, determine the relationship between xx and yy.

Options

A.

x>yx > y

B.

xyx \geq y

C.

x<yx < y

D.

xyx \leq y

E.

x=yx = y or no relation can be established between xx and yy

quadratic equationsroots comparisonalgebra

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