Given the two quadratic equations: Quantity I: x 2 5 + x + 4 5 = 0 \frac{x^2}{5} + x + \frac{4}{5} = 0 5 x 2 + x + 5 4 = 0 Quantity II: 3 y 2 + 4 ...

Banking RBI Grade B Prelims Medium Number System (including HCF LCM) MCQ

Question

Given the two quadratic equations:

Quantity I:

\frac{x^2}{5} + x + \frac{4}{5} = 0

Quantity II:

3y^2 + 4y + 1 = 0

Let x and y be the roots of the respective equations. Compare Quantity I and Quantity II where:

Determine the correct relationship between Quantity I and Quantity II.

Quantity I $\geq$ Quantity II

Quantity I $>$ Quantity II

Quantity I $<$ Quantity II

Quantity I = Quantity II or the relationship cannot be established

Quantity I $\leq$ Quantity II

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