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

I.5x2 + 3x  14 = 0

II.y2 41y + 180 = 0


1. x < y
2. x > y
3. x ≤ y
4. x ≥ y
5. x = y or the relationship between x and y cannot be established.

1 Answer

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Best answer
Correct Answer - Option 1 : x < y

Calculation:

From I,

5x2 + 3x  14 = 0

⇒ 5x2 + 10x  7x  14 = 0

⇒ 5x(x + 2) 7(x +2) = 0

⇒ (5x7) (x+2) = 0

Taking 

⇒5x – 7 = 0 or x + 2 = 0

⇒ x = 7/5 or x = 2

From II,

y2 41y + 180 = 0

⇒ y2 36y  5y +180 = 0

⇒ y(y36)  5(y36) = 0

⇒ (y5) (y36) = 0

Taking,

⇒ y – 5 = 0 or y – 36 = 0

⇒ y = 5 or y = 36

 

Values of x Values of y Relation
7/5 5 x < y
2 5 x < y
7/5 36 x < y
2 36 x < y

 

∴ The relation between x and y is, x < y.

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