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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. x2 – 25x + 46 = 0

II. y2 – 46y + 529 = 0


1. x < y
2. x > y
3. x ≤ y
4. x ≥ y
5. x = y or the relation between x or y can't be established.

1 Answer

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Best answer
Correct Answer - Option 3 : x ≤ y

Calculation:

I. x2 – 25x + 46 = 0

⇒ x– 23x – 2x + 46 = 0

⇒ x(x – 23) – 2(x – 23)= 0

⇒ (x – 23)(x – 2) = 0

⇒ x = 23, 2

II. y2 – 46y + 529 = 0

⇒ y– 23y – 23y + 529 = 0

⇒ y(y – 23) – 23(y – 23) =0

⇒ (y – 23)(y – 23) = 0

⇒ y = 23, 23

Value of ‘x’

Relation

Value of ‘y’

23

=

23

2

23


When we compared the values of ‘x’ and ‘y’ in the table above, we found that there are TWO relations between X and Y i.e. < and =. So, a relation between x and y is “x ≤ y”.

 After comparison, for all the values of x and y the relation is “x  y”.

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