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Instructions
In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and select the appropriate option.
Give answer If
a: x > y
b: x ≤ y
c: x ≥ y
d: x < y
e: Relationship between x and y cannot be established
Solution
I.$$3x^{2} + 16x + 21 = 0$$
=> $$3x^2 + 9x + 7x + 21 = 0$$
=> $$3x (x + 3) + 7 (x + 3) = 0$$
=> $$(x + 3) (3x + 7) = 0$$
=> $$x = -3 , \frac{-7}{3}$$
II.$$2y^{2} + 15y + 25 = 0$$
=> $$2y^2 + 10y + 5y + 25 = 0$$
=> $$2y (y + 5) + 5 (y + 5) = 0$$
=> $$(y + 5) (2y + 5) = 0$$
=> $$y = -5 , \frac{-5}{2}$$
$$\therefore$$ No relation can be established.
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