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 can not be established
I. $$x^{2} - 72 = x$$
II. $$y^{2} = 64$$
I : $$x^{2} - 72 = x$$
=> $$x^2 - x - 72 = 0$$
=> $$x^2 - 9x + 8x - 72 = 0$$
=> $$x (x - 9) + 8 (x - 9) = 0$$
=> $$(x + 8) (x - 9) = 0$$
=> $$x = -8 , 9$$
II : $$y^{2} = 64$$
=> $$y = \sqrt{64}$$
=> $$y = \pm 8$$
$$\therefore$$ No relation can be established.
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