In the following questions two equations numbered I and II are given. You have to solve both the equations and
Give answer If
a:x > y
b: x ≥ y
c: x < y
d: x ≤ y
e: x = y or the relationship cannot be established
$$I. x^{2} - 5x - 24 = 0$$
$$II. y^{2} - 7y - 18 = 0$$
I. $$x^{2}$$-5x-24=0
$$x^{2}$$-8x+3x-24=0
x(x-8)+3(x-8)=0
(x+3)(x-8)=0
x=-3 or 8
II. $$y^{2}$$-7y-18=0
$$y^{2}$$-9y+2y-18=0
y(y-9)+2(y-9)=0
y=-2 or 9
Comparing x and y values,
-3 < -2
-3 < 9
8 > -2
8 < 9
Hence, The relation between x and y cannot be established.
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