# In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. 6x2 – 5x + 1 = 0 II. y2

0 votes
18 views
in Aptitude
closed

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

I. 6x2 – 5x + 1 = 0

II. y2 + y – 2 = 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 established.

## 1 Answer

0 votes
by (30.0k points)
selected by

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

Calculation:

From I,

6x2 – 5x + 1 = 0

⇒  6x2 – 2x – 3x + 1 = 0

⇒ 2x(3x – 1) – 1(3x – 1) = 0

⇒ (3x – 1)(2x – 1) = 0

Taking,

⇒ (3x – 1) = 0 or  (2x – 1) = 0

⇒ x = (1/3) or (1/2)

From II,

y2 + y – 2 = 0

⇒ y2 + 2y – y – 2 = 0

⇒ y(y + 2) – 1(y + 2) = 0

⇒ (y + 2)(y – 1) = 0

Taking,

⇒ (y + 2) = 0 or (y – 1) = 0

⇒ y = -2 or 1

Comparison between x and y (via Tabulation):

 Value of x Value of y Relation 1/3 -2 x > y 1/3 1 x < y 1/2 -2 x > y 1/2 1 x < y

x = y or relation between x and y can not be established.

0 votes
1 answer
0 votes
1 answer
0 votes
1 answer
0 votes
1 answer
0 votes
1 answer