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amar singh chauda

· started a discussion

· 1 Months ago

as the values(roots) of x is greater than(4>-3,-2) or equal to(-3=-3) y

Question:
DIRECTIONS: In the given question two equations numbered I and II are given. You have to solve both the equations and give answer if:

I. x2 – x – 12 = 0


II. y2 + 5y + 6 = 0 

Options:
A) x > y
B) x ≥ y
C) x < y
D) x ≤ y
E) x = y or the relationship cannot be established
Solution:

I. x2 – x – 12 = 0

⇒ x2 – 4x + 3x – 12 = 0

⇒ x (x – 4)+ 3(x – 4) = 0

⇒ (x – 4) (x + 3) = 0

∴ x = 4 or – 3

II. y2 + 5y + 6 = 0

⇒ y2 + 3y + 2y + 6 = 0

⇒ y (y+3) + 2 (y+3) = 0

⇒ (y + 3) (y+2) =0

∴ y = – 3 or – 2 

Knowledge Expert

· commented

· 1 Months ago

Also see x=-3 is less than y=-2................so we see all the three signs appears, Thats why no relationshipcan be established...............

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