Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. x² − 35x + 294 = 0

II. y² − 38y + 345 = 0

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Question

This question was previously asked in

IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 2)

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Answer 1

Equation I: x² − 35x + 294 = 0

⇒ Discriminant = 35² − 4×294 = 1225 − 1176 = 49

⇒ Roots: x = [35 ± 7] ÷ 2 ⇒ x = 21 or 14

Equation II: y² − 38y + 345 = 0

⇒ Discriminant = 38² − 4×345 = 1444 − 1380 = 64

⇒ Roots: y = [38 ± 8] ÷ 2 ⇒ y = 23 or 15

Possible values:

x ∈ {14, 21}

y ∈ {15, 23}

Since sometimes x < y (e.g. 14 < 15) and sometimes x > y (e.g. 21 > 15), the relationship between x and y cannot be uniquely determined.

Thus, the correct answer is x = y or relationship cannot be established.