Solve the equations and mark the appropriate answer: I. $8x^2 - 6x - 35 = 0$ II. $4y^2 + 28y + 49 = 0$

x > y
x < y
x ≥ y
x ≤ y

Correct answer: x > y

Solution

Solve each quadratic separately. The first gives roots $x=\frac{35}{8}$ and $x=-\frac{5}{4}$, while the second gives a repeated root $y=-\frac{7}{2}$. In both cases, the valid comparison from the given options is $x>y$.

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