Q. If x + 1/x = 2, then the value of (2x² + 2) / (3x² + 4x + 3) will be

Correct Answer: (C) 2 / 5

Explanation:

Step 1: Solve for x
Multiply both sides by x to eliminate the fraction:
x^2 + 1 = 2x

Rearrange the equation:
x^2 – 2x + 1 = 0

This can be factored as:
(x – 1)^2 = 0
So, x = 1

Step 2: Substitute x = 1 into the expression
We need to find the value of:
(2x^2 + 2) / (3x^2 + 4x + 3)
Substitute x = 1:
Numerator:
2(1)^2 + 2 = 2 + 2 = 4

Denominator:
3(1)^2 + 4(1) + 3 = 3 + 4 + 3 = 10

So, the expression becomes:
4 / 10 = 2 / 5

Answer: (C) 2 / 5