THE CORRECT ANSWER IS (B). FOR THE ROOTS OF 2X2 – 3X+C = 0 TO BE R...

34. The correct answer is (B). For the roots of 2x

– 3x+c = 0 to be real and irrational, the discriminant

must be positive but not a perfect square.

Hence, .

This applies to all listed values except 2. However, C = –2 makes the discriminant 25; C = –1 makes

it 17; C = 0 makes it 9; and C = 1 makes it 1. All are perfect squares except 17. Hence, the only

possible value of C is –1.