Question
Download Solution PDFDirection: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.
I. x² − 11x + 24 = 0
II. y² + 6y − 135 = 0
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFEquation I: x² − 11x + 24 = 0
Factor: Find two numbers that multiply to 24 and add up to −11
⇒ (x − 3)(x − 8) = 0
⇒ x = 3, 8
Equation II: y² + 6y − 135 = 0
Factor: Find two numbers that multiply to −135 and add up to 6
⇒ (y + 15)(y − 9) = 0
⇒ y = −15, 9
Now compare:
x = 3, 8
y = −15, 9
Compare each x with both y values:
3 < 9 and 3 > −15
8 < 9 and 8 > −15
So: x is less than y in one case and greater in another → No definite relation
Thus, the correct answer is x = y or Relationship cannot be established.
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