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x² + 26x + 168 = 0
y² + 23y + 132 = 0
- a)X > Y
- b)X < Y
- c)X ≥ Y
- d)X ≤ Y
- e)X = Y or relation cannot be established
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
x² + 26x + 168 = 0y² + 23y + 132 = 0a)X > Yb)X < Yc)X ...
x² + 26x + 168 = 0
x = -12, -14
y² + 23y + 132 = 0
y = -12, -11
x = -12, -14
y² + 23y + 132 = 0
y = -12, -11
Most Upvoted Answer
x² + 26x + 168 = 0y² + 23y + 132 = 0a)X > Yb)X < Yc)X ...
Analysis:
To find the relationship between X and Y, we need to solve the given equations for X and Y.
Solving for X:
Given equation: x^2 + 26x + 168 = 0
Factorizing the equation: (x + 14)(x + 12) = 0
This gives x = -14 or x = -12
Solving for Y:
Given equation: y^2 + 23y + 132 = 0
Factorizing the equation: (y + 11)(y + 12) = 0
This gives y = -11 or y = -12
Comparison:
Since -14 is less than -12 and -11 is less than -12, we can conclude that X is less than or equal to Y.
Therefore, the correct answer is option 'D' - X ≤ Y.
To find the relationship between X and Y, we need to solve the given equations for X and Y.
Solving for X:
Given equation: x^2 + 26x + 168 = 0
Factorizing the equation: (x + 14)(x + 12) = 0
This gives x = -14 or x = -12
Solving for Y:
Given equation: y^2 + 23y + 132 = 0
Factorizing the equation: (y + 11)(y + 12) = 0
This gives y = -11 or y = -12
Comparison:
Since -14 is less than -12 and -11 is less than -12, we can conclude that X is less than or equal to Y.
Therefore, the correct answer is option 'D' - X ≤ Y.
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