Question

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

l. x² – 9x + 14 = 0

ll. y² + y – 42 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relation between x and y can not be determine.

Answer 1

Correct Answer - Option 5 : x = y or relation between x and y can not be determine.

Calculation:

x2 – 9x + 14 = 0

⇒ x² - 7x - 2x + 14 = 0

⇒ x(x - 7) - 2(x - 7) = 0

⇒ (x - 2) (x - 7)

⇒ x = 2, 7.

y2 + y – 42 = 0

⇒ y² + 7y - 6y - 42 = 0

⇒ y(y + 7) - 6(y + 7) = 0

⇒ (y - 6) (y + 7) = 0

⇒ y = 6, -7.

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
2	6	x < y
2	-7	x > y
7	6	x > y
7	-7	x > y

 

∴ The relation between x and y can not be determined.