In following question, two equations are given, you have to solve them and chose the correct option:

x2 + 11x + 30 = 0, 

y2 + 7y + 12 = 0

A x = y or relation cannot be determined

B x > y

C x < y

D x ≥ y

E x ≤ y

Solution

Correct Answer: Option C

 x2 + 11x + 30 = 0

⇒         x2 + 6x + 5x + 30 = 0

⇒         x(x+6) + 5(x+6) = 0

⇒         (x+5) (x+6)=0

 X = -5, -6

 y2 +7y + 12 = 0

⇒         y2 + 4y + 3y + 12 = 0

⇒         y (y+4) + 3(y+4) = 0

⇒         (y+3) (y+4) = 0

 Y =-3, -4

∴ x < y

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